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139923876096 = 283277932
BaseRepresentation
bin1000001001010000011…
…1001110100100000000
3111101011112110101101100
42002110013032210000
54243031003013341
6144140302134400
713052305215504
oct2022407164400
9441145411340
10139923876096
1154383420124
1223150281400
131026bb8ac74
146ab5494304
15398e1d63b6
hex20941ce900

139923876096 has 81 divisors (see below), whose sum is σ = 403486805449. Its totient is φ = 46635307008.

The previous prime is 139923876091. The next prime is 139923876107. The reversal of 139923876096 is 690678329931.

The square root of 139923876096 is 374064.

It is a perfect power (a square), and thus also a powerful number.

139923876096 is a `hidden beast` number, since 1 + 399 + 23 + 87 + 60 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136426809600 + 3497066496 = 369360^2 + 59136^2 .

It is a super-2 number, since 2×1399238760962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139923876091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17951176 + ... + 17958968.

Almost surely, 2139923876096 is an apocalyptic number.

139923876096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

139923876096 is the 374064-th square number.

It is an amenable number.

139923876096 is an abundant number, since it is smaller than the sum of its proper divisors (263562929353).

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

139923876096 is an frugal number, since it uses more digits than its factorization.

139923876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 139923876096 in words is "one hundred thirty-nine billion, nine hundred twenty-three million, eight hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7793 15586 23379 31172 46758 62344 70137 93516 124688 140274 187032 249376 280548 374064 498752 561096 748128 997504 1122192 1496256 1995008 2244384 2992512 4488768 5985024 8977536 17955072 60730849 121461698 182192547 242923396 364385094 485846792 546577641 728770188 971693584 1093155282 1457540376 1943387168 2186310564 2915080752 3886774336 4372621128 5830161504 7773548672 8745242256 11660323008 15547097344 17490484512 23320646016 34980969024 46641292032 69961938048 139923876096