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1042232886240 = 253571367356129
BaseRepresentation
bin11110010101010011110…
…10111100001111100000
310200122012000001100001220
433022221322330033200
5114033443104324430
62114443431455040
7135204334235160
oct17125172741740
93618160040056
101042232886240
11372010325467
12149ba9827480
1377388b25360
14386313b25a0
151c19e2b4110
hexf2a9ebc3e0

1042232886240 has 384 divisors, whose sum is σ = 4100976552960. Its totient is φ = 216616992768.

The previous prime is 1042232886221. The next prime is 1042232886241. The reversal of 1042232886240 is 426882322401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1042232886192 and 1042232886201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042232886241) 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, 2748496 + ... + 3104624.

It is an arithmetic number, because the mean of its divisors is an integer number (10679626440).

Almost surely, 21042232886240 is an apocalyptic number.

1042232886240 is a gapful number since it is divisible by the number (10) 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 1042232886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050488276480).

1042232886240 is an abundant number, since it is smaller than the sum of its proper divisors (3058743666720).

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

1042232886240 is a wasteful number, since it uses less digits than its factorization.

1042232886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356234 (or 356226 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 1042232886240 in words is "one trillion, forty-two billion, two hundred thirty-two million, eight hundred eighty-six thousand, two hundred forty".