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38423777040 = 243251110745341
BaseRepresentation
bin100011110010001111…
…000100111100010000
310200011211010010002100
4203302033010330100
51112142441331130
625352430520400
72530114500405
oct436217047420
9120154103070
1038423777040
1115328247440
127544066100
13381465315c
141c071062ac
15eed432c60
hex8f23c4f10

38423777040 has 240 divisors, whose sum is σ = 142089494976. Its totient is φ = 9227596800.

The previous prime is 38423777039. The next prime is 38423777047. The reversal of 38423777040 is 4077732483.

It is a tau number, because it is divible by the number of its divisors (240).

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 (38423777047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824770 + ... + 870110.

Almost surely, 238423777040 is an apocalyptic number.

38423777040 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 38423777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71044747488).

38423777040 is an abundant number, since it is smaller than the sum of its proper divisors (103665717936).

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

38423777040 is a wasteful number, since it uses less digits than its factorization.

38423777040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45478 (or 45469 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 38423777040 in words is "thirty-eight billion, four hundred twenty-three million, seven hundred seventy-seven thousand, forty".