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132903239797440 = 26345719103374293
BaseRepresentation
bin11110001101111111110010…
…011001011100101011000000
3122102120102111021212222120000
4132031333302121130223000
5114404441313342004230
61150354523330320000
736664641114622620
oct3615776231345300
9572512437788500
10132903239797440
113938aa470a3652
1212aa5656129000
13592094c869758
1424b67a041c880
1510571b9212b60
hex78dff265cac0

132903239797440 has 1120 divisors, whose sum is σ = 574257305656320. Its totient is φ = 28499563044864.

The previous prime is 132903239797439. The next prime is 132903239797441. The reversal of 132903239797440 is 44797932309231.

It is a happy number.

132903239797440 is a `hidden beast` number, since 1 + 3 + 2 + 90 + 3 + 2 + 39 + 79 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (132903239797439) and next prime (132903239797441).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×1329032397974402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132903239797441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 354890934 + ... + 355265226.

Almost surely, 2132903239797440 is an apocalyptic number.

132903239797440 is a gapful number since it is divisible by the number (10) 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 132903239797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287128652828160).

132903239797440 is an abundant number, since it is smaller than the sum of its proper divisors (441354065858880).

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

132903239797440 is a wasteful number, since it uses less digits than its factorization.

132903239797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374451 (or 374432 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 132903239797440 in words is "one hundred thirty-two trillion, nine hundred three billion, two hundred thirty-nine million, seven hundred ninety-seven thousand, four hundred forty".