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2443300432134 = 2319113401601787
BaseRepresentation
bin100011100011100000000…
…011011110100100000110
322122120120210211002012120
4203203200003132210012
5310012334402312014
65110234155430410
7341344156002012
oct43434003364406
98576523732176
102443300432134
1186221a440791
12335640455406
1314952c958b93
14863836ad542
1543850ee8ba9
hex238e00de906

2443300432134 has 128 divisors (see below), whose sum is σ = 5217528798720. Its totient is φ = 760596480000.

The previous prime is 2443300432121. The next prime is 2443300432141. The reversal of 2443300432134 is 4312340033442.

It is a happy number.

It is a super-2 number, since 2×24433004321342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2443300432095 and 2443300432104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3104574489 + ... + 3104575275.

It is an arithmetic number, because the mean of its divisors is an integer number (40761943740).

Almost surely, 22443300432134 is an apocalyptic number.

2443300432134 is an abundant number, since it is smaller than the sum of its proper divisors (2774228366586).

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

2443300432134 is a wasteful number, since it uses less digits than its factorization.

2443300432134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2443300432134 its reverse (4312340033442), we get a palindrome (6755640465576).

The spelling of 2443300432134 in words is "two trillion, four hundred forty-three billion, three hundred million, four hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 113 114 226 339 401 601 678 787 802 1202 1203 1574 1803 2147 2361 2406 3606 4294 4722 6441 7619 11419 12882 14953 15238 22838 22857 29906 34257 44859 45313 45714 67913 68514 88931 89718 90626 135826 135939 177862 203739 241001 266793 271878 315587 407478 472987 482002 533586 631174 723003 860947 945974 946761 1290347 1418961 1446006 1689689 1721894 1893522 2580694 2582841 2837922 3379378 3871041 4579019 5069067 5165682 5996153 7742082 8986753 9158038 10138134 11992306 13737057 17973506 17988459 26960259 27233113 27474114 35661331 35976918 53447531 53920518 54466226 71322662 81699339 106895062 106983993 160342593 163398678 189667787 213967986 320685186 379335574 517429147 569003361 677565289 1015503089 1034858294 1138006722 1355130578 1552287441 2031006178 2032695867 3046509267 3104574882 3603687953 4065391734 6093018534 7207375906 10811063859 21432459931 21622127718 42864919862 64297379793 128594759586 407216738689 814433477378 1221650216067 2443300432134