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35423660040 = 233519791931019
BaseRepresentation
bin100000111111011010…
…100010100000001000
310101102201212101020220
4200333122202200020
51040021424110130
624135015550040
72362555066536
oct407732424010
9111381771226
1035423660040
11140288070aa
126a4738b320
133456c2a5b2
141a008ad156
15dc4d69410
hex83f6a2808

35423660040 has 256 divisors, whose sum is σ = 113978880000. Its totient is φ = 8781447168.

The previous prime is 35423660033. The next prime is 35423660047. The reversal of 35423660040 is 4006632453.

It is an interprime number because it is at equal distance from previous prime (35423660033) and next prime (35423660047).

It is a super-3 number, since 3×354236600403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35423659983 and 35423660010.

It is not an unprimeable number, because it can be changed into a prime (35423660047) 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, 34762651 + ... + 34763669.

It is an arithmetic number, because the mean of its divisors is an integer number (445230000).

Almost surely, 235423660040 is an apocalyptic number.

35423660040 is a gapful number since it is divisible by the number (30) 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 35423660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56989440000).

35423660040 is an abundant number, since it is smaller than the sum of its proper divisors (78555219960).

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

35423660040 is a wasteful number, since it uses less digits than its factorization.

35423660040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 35423660040 in words is "thirty-five billion, four hundred twenty-three million, six hundred sixty thousand, forty".