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352111052040 = 23351137411011741
BaseRepresentation
bin1010001111110110111…
…01000100010100001000
31020122212020001202100120
411013323131010110020
521232110412131130
6425431345503240
734303432362636
oct5077335042410
91218766052316
10352111052040
11126369566a60
12582a9341b20
1327286058b47
1413083d98356
15925c550910
hex51fb744508

352111052040 has 512 divisors, whose sum is σ = 1225081428480. Its totient is φ = 80179200000.

The previous prime is 352111052039. The next prime is 352111052057. The reversal of 352111052040 is 40250111253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 352111052040.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202245570 + ... + 202247310.

It is an arithmetic number, because the mean of its divisors is an integer number (2392737165).

Almost surely, 2352111052040 is an apocalyptic number.

352111052040 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 352111052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612540714240).

352111052040 is an abundant number, since it is smaller than the sum of its proper divisors (872970376440).

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

352111052040 is a wasteful number, since it uses less digits than its factorization.

352111052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 352111052040 its reverse (40250111253), we get a palindrome (392361163293).

The spelling of 352111052040 in words is "three hundred fifty-two billion, one hundred eleven million, fifty-two thousand, forty".