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1145424513640 = 2351121013123887
BaseRepresentation
bin10000101010110000100…
…111110000101001101000
311001111112121022011000211
4100222300213300221220
5122231312133414030
62234111210310504
7145516454502631
oct20526047605150
94044477264024
101145424513640
11401854305460
12165ba8428434
1384022931704
143d62027c888
151ebdd7e612a
hex10ab09f0a68

1145424513640 has 64 divisors (see below), whose sum is σ = 2811653026560. Its totient is φ = 416494821120.

The previous prime is 1145424513599. The next prime is 1145424513671. The reversal of 1145424513640 is 463154245411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1145424513593 and 1145424513602.

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, 9183777 + ... + 9307663.

It is an arithmetic number, because the mean of its divisors is an integer number (43932078540).

Almost surely, 21145424513640 is an apocalyptic number.

1145424513640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145424513640 is an abundant number, since it is smaller than the sum of its proper divisors (1666228512920).

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

1145424513640 is a wasteful number, since it uses less digits than its factorization.

1145424513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144922 (or 144918 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1145424513640 in words is "one trillion, one hundred forty-five billion, four hundred twenty-four million, five hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 21013 42026 84052 105065 123887 168104 210130 231143 247774 420260 462286 495548 619435 840520 924572 991096 1155715 1238870 1362757 1849144 2311430 2477740 2725514 4622860 4955480 5451028 6813785 9245720 10902056 13627570 27255140 54510280 2603237531 5206475062 10412950124 13016187655 20825900248 26032375310 28635612841 52064750620 57271225682 104129501240 114542451364 143178064205 229084902728 286356128410 572712256820 1145424513640