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140073963162432 = 263137310922133187
BaseRepresentation
bin11111110110010110000010…
…110100010000101101000000
3200100221221101022222111021120
4133312112002310100231000
5121324432434032144212
61213525031302152240
741335003246555125
oct3766260264205500
9610857338874246
10140073963162432
11406a5041536972
1213863332a22680
136020bc1c4c480
14268388a3c874c
15112d9a29e788c
hex7f6582d10b40

140073963162432 has 448 divisors, whose sum is σ = 408612908309760. Its totient is φ = 42087038386176.

The previous prime is 140073963162431. The next prime is 140073963162439. The reversal of 140073963162432 is 234261369370041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140073963162431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43951665543 + ... + 43951668729.

It is an arithmetic number, because the mean of its divisors is an integer number (912082384620).

Almost surely, 2140073963162432 is an apocalyptic number.

140073963162432 is a gapful number since it is divisible by the number (12) 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 140073963162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204306454154880).

140073963162432 is an abundant number, since it is smaller than the sum of its proper divisors (268538945147328).

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

140073963162432 is a wasteful number, since it uses less digits than its factorization.

140073963162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 140073963162432 in words is "one hundred forty trillion, seventy-three billion, nine hundred sixty-three million, one hundred sixty-two thousand, four hundred thirty-two".