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42969083040 = 25335131745007
BaseRepresentation
bin101000000001001010…
…000010110010100000
311002220120220120202000
4220001022002302200
51201000041124130
631423440324000
73050546115402
oct500112026240
9132816816660
1042969083040
111724aa22084
1283b2313600
13408a230630
142118a46b72
1511b74c0260
hexa01282ca0

42969083040 has 384 divisors, whose sum is σ = 171491281920. Its totient is φ = 9954607104.

The previous prime is 42969082951. The next prime is 42969083041. The reversal of 42969083040 is 4038096924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42969083041) 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, 932217 + ... + 977223.

It is an arithmetic number, because the mean of its divisors is an integer number (446591880).

Almost surely, 242969083040 is an apocalyptic number.

42969083040 is a gapful number since it is divisible by the number (40) 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 42969083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85745640960).

42969083040 is an abundant number, since it is smaller than the sum of its proper divisors (128522198880).

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

42969083040 is a wasteful number, since it uses less digits than its factorization.

42969083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45061 (or 45047 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 42969083040 in words is "forty-two billion, nine hundred sixty-nine million, eighty-three thousand, forty".