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2345564140440 = 2335104531869929
BaseRepresentation
bin100010001000011110100…
…001000111001110011000
322022020022101202000222020
4202020132201013032120
5301412203404443230
64553312015454440
7331314160143123
oct42103641071630
98266271660866
102345564140440
118248258991a4
1231a704827420
13140255125911
14817511513ba
15410308b2810
hex2221e847398

2345564140440 has 64 divisors (see below), whose sum is σ = 7037369359200. Its totient is φ = 625423598592.

The previous prime is 2345564140399. The next prime is 2345564140453. The reversal of 2345564140440 is 440414655432.

It is a super-2 number, since 2×23455641404402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2345564140392 and 2345564140401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319396 + ... + 2189324.

Almost surely, 22345564140440 is an apocalyptic number.

2345564140440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345564140440 is an abundant number, since it is smaller than the sum of its proper divisors (4691805218760).

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

2345564140440 is a wasteful number, since it uses less digits than its factorization.

2345564140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880396 (or 1880392 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 2345564140440 its reverse (440414655432), we get a palindrome (2785978795872).

The spelling of 2345564140440 in words is "two trillion, three hundred forty-five billion, five hundred sixty-four million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 10453 20906 31359 41812 52265 62718 83624 104530 125436 156795 209060 250872 313590 418120 627180 1254360 1869929 3739858 5609787 7479716 9349645 11219574 14959432 18699290 22439148 28048935 37398580 44878296 56097870 74797160 112195740 224391480 19546367837 39092735674 58639103511 78185471348 97731839185 117278207022 156370942696 195463678370 234556414044 293195517555 390927356740 469112828088 586391035110 781854713480 1172782070220 2345564140440