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1345115033040 = 24355604645971
BaseRepresentation
bin10011100100101111000…
…110101000110111010000
311202120222101020120221210
4103210233012220313100
5134014243422024130
62505534243220120
7166116130063062
oct23445706506720
94676871216853
101345115033040
11479507407269
12198838377640
1399ac7ab376c
14491651dd732
1524ec99d75b0
hex1392f1a8dd0

1345115033040 has 40 divisors (see below), whose sum is σ = 4169856603168. Its totient is φ = 358697342080.

The previous prime is 1345115033021. The next prime is 1345115033051. The reversal of 1345115033040 is 403305115431.

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

It is a super-2 number, since 2×13451150330402 (a number of 25 digits) contains 22 as substring.

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 = 1345115032989 and 1345115033007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2802322746 + ... + 2802323225.

Almost surely, 21345115033040 is an apocalyptic number.

1345115033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345115033040 is an abundant number, since it is smaller than the sum of its proper divisors (2824741570128).

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

1345115033040 is a wasteful number, since it uses less digits than its factorization.

1345115033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604645987 (or 5604645981 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1345115033040 in words is "one trillion, three hundred forty-five billion, one hundred fifteen million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5604645971 11209291942 16813937913 22418583884 28023229855 33627875826 44837167768 56046459710 67255751652 84069689565 89674335536 112092919420 134511503304 168139379130 224185838840 269023006608 336278758260 448371677680 672557516520 1345115033040