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43137429504 = 212313312281
BaseRepresentation
bin101000001011001100…
…001111000000000000
311010100022200110200020
4220023030033000000
51201321140221004
631452252453440
73054662046411
oct501314170000
9133308613606
1043137429504
1117326a55294
12843a77a280
1340b6084120
142133149808
1511c71758d9
hexa0b30f000

43137429504 has 312 divisors, whose sum is σ = 128446806096. Its totient is φ = 12799180800.

The previous prime is 43137429497. The next prime is 43137429509. The reversal of 43137429504 is 40592473134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43137429509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153513844 + ... + 153514124.

Almost surely, 243137429504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43137429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64223403048).

43137429504 is an abundant number, since it is smaller than the sum of its proper divisors (85309376592).

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

43137429504 is a wasteful number, since it uses less digits than its factorization.

43137429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 43137429504 in words is "forty-three billion, one hundred thirty-seven million, four hundred twenty-nine thousand, five hundred four".