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10140432034302 = 2341671524124593
BaseRepresentation
bin1001001110010000000011…
…0110010110100111111110
31022220102020010212202020000
42103210000312112213332
52312120101100044202
633322241122535130
72064423234055653
oct223440066264776
938812203782200
1010140432034302
11325a5955829a9
12117934a2074a6
135873143969cb
14270b29c9dc2a
15128b98a5491c
hex93900d969fe

10140432034302 has 80 divisors (see below), whose sum is σ = 22860568840032. Its totient is φ = 3359546565120.

The previous prime is 10140432034301. The next prime is 10140432034307. The reversal of 10140432034302 is 20343023404101.

10140432034302 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 320 + 34 + 302 = 666.

10140432034302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140432034301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412317718 + ... + 412342310.

Almost surely, 210140432034302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140432034302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430284420016).

10140432034302 is an abundant number, since it is smaller than the sum of its proper divisors (12720136805730).

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

10140432034302 is a wasteful number, since it uses less digits than its factorization.

10140432034302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40015 (or 40006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10140432034302 its reverse (20343023404101), we get a palindrome (30483455438403).

The spelling of 10140432034302 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, thirty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 1002 1503 3006 4509 9018 13527 15241 24593 27054 30482 45723 49186 73779 91446 137169 147558 221337 274338 411507 442674 664011 823014 1234521 1328022 1992033 2469042 2545247 3984066 4107031 5090494 7635741 8214062 12321093 15271482 22907223 24642186 36963279 45814446 68721669 73926558 110889837 137443338 206165007 221779674 332669511 374821913 412330014 665339022 749643826 1124465739 2248931478 3373397217 6746794434 10120191651 20240383302 30360574953 60721149906 62595259471 125190518942 187785778413 375571556826 563357335239 1126714670478 1690072005717 3380144011434 5070216017151 10140432034302