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140133212030032 = 241322391283169009
BaseRepresentation
bin11111110111001101001110…
…010100110000010001010000
3200101011121022111011211002021
4133313031032110300101100
5121331420304234430112
61214012150415101224
741342201425616344
oct3767151624602120
9611147274154067
10140133212030032
1140718185a20051
1213872909211814
136026674ba6600
1426866ab1d3624
1511302be327907
hex7f734e530450

140133212030032 has 120 divisors (see below), whose sum is σ = 295461875836800. Its totient is φ = 64355672070144.

The previous prime is 140133212029999. The next prime is 140133212030039. The reversal of 140133212030032 is 230030212331041.

It is a super-2 number, since 2×1401332120300322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140133212029979 and 140133212030006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140133212030039) 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, 829061944 + ... + 829230952.

It is an arithmetic number, because the mean of its divisors is an integer number (2462182298640).

Almost surely, 2140133212030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140133212030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147730937918400).

140133212030032 is an abundant number, since it is smaller than the sum of its proper divisors (155328663806768).

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

140133212030032 is a wasteful number, since it uses less digits than its factorization.

140133212030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170565 (or 170546 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 140133212030032 its reverse (230030212331041), we get a palindrome (370163424361073).

The spelling of 140133212030032 in words is "one hundred forty trillion, one hundred thirty-three billion, two hundred twelve million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 239 338 478 676 956 1283 1352 1912 2566 2704 3107 3824 5132 6214 10264 12428 16679 20528 24856 33358 40391 49712 66716 80782 133432 161564 169009 216827 266864 306637 323128 338018 433654 613274 646256 676036 867308 1226548 1352072 1734616 2197117 2453096 2704144 3469232 3986281 4394234 4906192 7972562 8788468 15945124 17576936 28562521 31890248 35153872 40393151 51821653 57125042 63780496 80786302 103643306 114250084 161572604 207286612 216838547 228500168 323145208 414573224 433677094 457000336 525110963 646290416 829146448 867354188 1050221926 1734708376 2100443852 2818901111 3469416752 4200887704 5637802222 6826442519 8401775408 11275604444 13652885038 22551208888 27305770076 36645714443 45102417776 51824412733 54611540152 73291428886 103648825466 109223080304 146582857772 207297650932 293165715544 414595301864 586331431088 673717365529 829190603728 1347434731058 2694869462116 5389738924232 8758325751877 10779477848464 17516651503754 35033303007508 70066606015016 140133212030032