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35130545040 = 2435146377271
BaseRepresentation
bin100000101101111100…
…011001001110010000
310100200022022121001210
4200231330121032100
51033421404420130
624045545300120
72352365464053
oct405574311620
9110608277053
1035130545040
11139983054a8
126985194640
13340b2a0576
1419b39aca9a
15da926a5b0
hex82df19390

35130545040 has 40 divisors (see below), whose sum is σ = 108904690368. Its totient is φ = 9368145280.

The previous prime is 35130544979. The next prime is 35130545041. The reversal of 35130545040 is 4054503153.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 35130544989 and 35130545007.

It is not an unprimeable number, because it can be changed into a prime (35130545041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73188396 + ... + 73188875.

Almost surely, 235130545040 is an apocalyptic number.

35130545040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35130545040 is an abundant number, since it is smaller than the sum of its proper divisors (73774145328).

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

35130545040 is a wasteful number, since it uses less digits than its factorization.

35130545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146377287 (or 146377281 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 35130545040 in words is "thirty-five billion, one hundred thirty million, five hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 146377271 292754542 439131813 585509084 731886355 878263626 1171018168 1463772710 1756527252 2195659065 2342036336 2927545420 3513054504 4391318130 5855090840 7026109008 8782636260 11710181680 17565272520 35130545040