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38174089140 = 223251125961487
BaseRepresentation
bin100011100011010110…
…100101111110110100
310122112102021122200100
4203203112211332310
51111140031323030
625311551114100
72520663255345
oct434326457664
9118472248610
1038174089140
111520a307200
127494512930
1337a49bc835
141bc1cac0cc
15ed6561360
hex8e35a5fb4

38174089140 has 432 divisors, whose sum is σ = 131827812480. Its totient is φ = 8929958400.

The previous prime is 38174089139. The next prime is 38174089181. The reversal of 38174089140 is 4198047183.

It is a happy number.

It is a super-2 number, since 2×381740891402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78385977 + ... + 78386463.

Almost surely, 238174089140 is an apocalyptic number.

38174089140 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 38174089140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65913906240).

38174089140 is an abundant number, since it is smaller than the sum of its proper divisors (93653723340).

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

38174089140 is a wasteful number, since it uses less digits than its factorization.

38174089140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38174089140 in words is "thirty-eight billion, one hundred seventy-four million, eighty-nine thousand, one hundred forty".