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351340013940 = 22352319310331277
BaseRepresentation
bin1010001110011010111…
…11110010100101110100
31020120212111012221220220
411013031133302211310
521224021020421230
6425223043454340
734245350562306
oct5071537624564
91216774187826
10351340013940
11126003307693
12581130873b0
13271923a6596
141300d80b976
1592149e9d10
hex51cd7f2974

351340013940 has 192 divisors, whose sum is σ = 1033650326016. Its totient is φ = 88996773888.

The previous prime is 351340013911. The next prime is 351340013987. The reversal of 351340013940 is 49310043153.

It is a happy number.

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, 275128582 + ... + 275129858.

It is an arithmetic number, because the mean of its divisors is an integer number (5383595448).

Almost surely, 2351340013940 is an apocalyptic number.

351340013940 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 351340013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516825163008).

351340013940 is an abundant number, since it is smaller than the sum of its proper divisors (682310312076).

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

351340013940 is a wasteful number, since it uses less digits than its factorization.

351340013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 351340013940 in words is "three hundred fifty-one billion, three hundred forty million, thirteen thousand, nine hundred forty".