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141114744703296 = 263471317232293137
BaseRepresentation
bin100000000101011111010110…
…001110110000100101000000
3200111122102211012001211210000
4200011133112032300211000
5121444010444121001141
61220043115130440000
741503126631650560
oct4005372616604500
9614572735054700
10141114744703296
1140a66477593041
12139b0b96593000
1360980a9189480
1426bbdc0b20da0
15114aab96735b6
hex8057d63b0940

141114744703296 has 6720 divisors, whose sum is σ = 624970588999680. Its totient is φ = 30459903344640.

The previous prime is 141114744703243. The next prime is 141114744703379. The reversal of 141114744703296 is 692307447411141.

141114744703296 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 14 + 74 + 470 + 3 + 2 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3813912018990 + ... + 3813912019026.

It is an arithmetic number, because the mean of its divisors is an integer number (93001575744).

Almost surely, 2141114744703296 is an apocalyptic number.

141114744703296 is a gapful number since it is divisible by the number (16) 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 141114744703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312485294499840).

141114744703296 is an abundant number, since it is smaller than the sum of its proper divisors (483855844296384).

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

141114744703296 is a wasteful number, since it uses less digits than its factorization.

141114744703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 141114744703296 in words is "one hundred forty-one trillion, one hundred fourteen billion, seven hundred forty-four million, seven hundred three thousand, two hundred ninety-six".