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140534144321440 = 2553122131428899
BaseRepresentation
bin11111111101000010100111…
…110000000100011110100000
3200102120221012011000111110111
4133331002213300010132200
5121410002411421241230
61214520254501341104
741413154051100202
oct3775024760043640
9612527164014414
10140534144321440
114086221782a811
1213918560707794
13605540b70626c
14269bc6311a772
15113a9379ca92a
hex7fd0a7c047a0

140534144321440 has 144 divisors (see below), whose sum is σ = 343229252839200. Its totient is φ = 54374659084800.

The previous prime is 140534144321413. The next prime is 140534144321449. The reversal of 140534144321440 is 44123441435041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 140534144321393 and 140534144321402.

It is not an unprimeable number, because it can be changed into a prime (140534144321449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327448111 + ... + 327877009.

It is an arithmetic number, because the mean of its divisors is an integer number (2383536478050).

Almost surely, 2140534144321440 is an apocalyptic number.

140534144321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140534144321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171614626419600).

140534144321440 is an abundant number, since it is smaller than the sum of its proper divisors (202695108517760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140534144321440 is a wasteful number, since it uses less digits than its factorization.

140534144321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431107 (or 431068 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 140534144321440 its reverse (44123441435041), we get a palindrome (184657585756481).

The spelling of 140534144321440 in words is "one hundred forty trillion, five hundred thirty-four billion, one hundred forty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 961 992 1240 1922 2131 2480 3844 4262 4805 4960 7688 8524 9610 10655 15376 17048 19220 21310 30752 34096 38440 42620 66061 68192 76880 85240 132122 153760 170480 264244 330305 340960 428899 528488 660610 857798 1056976 1321220 1715596 2047891 2113952 2144495 2642440 3431192 4095782 4288990 5284880 6862384 8191564 8577980 10239455 10569760 13295869 13724768 16383128 17155960 20478910 26591738 32766256 34311920 40957820 53183476 65532512 66479345 68623840 81915640 106366952 132958690 163831280 212733904 265917380 327662560 412171939 425467808 531834760 824343878 913983769 1063669520 1648687756 1827967538 2060859695 2127339040 3297375512 3655935076 4121719390 4569918845 6594751024 7311870152 8243438780 9139837690 13189502048 14623740304 16486877560 18279675380 28333496839 29247480608 32973755120 36559350760 56666993678 65947510240 73118701520 113333987356 141667484195 146237403040 226667974712 283334968390 453335949424 566669936780 878338402009 906671898848 1133339873560 1756676804018 2266679747120 3513353608036 4391692010045 4533359494240 7026707216072 8783384020090 14053414432144 17566768040180 28106828864288 35133536080360 70267072160720 140534144321440