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9023831040 = 210357234189
BaseRepresentation
bin10000110011101110…
…01011110000000000
3212021212221010001110
420121313023300000
5121440100043130
64051232003320
7436422204210
oct103167136000
925255833043
109023831040
113910798904
1218ba090540
13b0a6a53c3
1461865a240
1537c337ab0
hex219dcbc00

9023831040 has 704 divisors, whose sum is σ = 35655137280. Its totient is φ = 1903165440.

The previous prime is 9023831027. The next prime is 9023831083. The reversal of 9023831040 is 401383209.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9023830989 and 9023831007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101391316 + ... + 101391404.

Almost surely, 29023831040 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 9023831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827568640).

9023831040 is an abundant number, since it is smaller than the sum of its proper divisors (26631306240).

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

9023831040 is a wasteful number, since it uses less digits than its factorization.

9023831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9023831040 is about 94993.8473797119. The cubic root of 9023831040 is about 2081.9181516638.

It can be divided in two parts, 90238 and 31040, that added together give a triangular number (121278 = T492).

The spelling of 9023831040 in words is "nine billion, twenty-three million, eight hundred thirty-one thousand, forty".