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1145023515540 = 2232526324187231
BaseRepresentation
bin10000101010011000101…
…110000100101110010100
311001110111122202100001100
4100222120232010232110
5122230002004444130
62234003323430100
7145503515203152
oct20523056045624
94043448670040
101145023515540
11401668a18673
12165ab6085330
1383c8a830a28
143d5c2cd83d2
151ebb84d6c60
hex10a98b84b94

1145023515540 has 72 divisors (see below), whose sum is σ = 3486444369408. Its totient is φ = 304178604480.

The previous prime is 1145023515521. The next prime is 1145023515563. The reversal of 1145023515540 is 455153205411.

1145023515540 is a `hidden beast` number, since 1 + 1 + 4 + 50 + 2 + 3 + 51 + 554 + 0 = 666.

It is a super-2 number, since 2×11450235155402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1145023515495 and 1145023515504.

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 23 ways as a sum of consecutive naturals, for example, 12046276 + ... + 12140955.

It is an arithmetic number, because the mean of its divisors is an integer number (48422838464).

Almost surely, 21145023515540 is an apocalyptic number.

1145023515540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145023515540 is an abundant number, since it is smaller than the sum of its proper divisors (2341420853868).

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

1145023515540 is a wasteful number, since it uses less digits than its factorization.

1145023515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24187509 (or 24187504 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1145023515540 in words is "one trillion, one hundred forty-five billion, twenty-three million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7890 9468 11835 15780 23670 47340 24187231 48374462 72561693 96748924 120936155 145123386 217685079 241872310 290246772 362808465 435370158 483744620 725616930 870740316 1088425395 1451233860 2176850790 4353701580 6361241753 12722483506 19083725259 25444967012 31806208765 38167450518 57251175777 63612417530 76334901036 95418626295 114502351554 127224835060 190837252590 229004703108 286255878885 381674505180 572511757770 1145023515540