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1020435043144 = 231121636467291
BaseRepresentation
bin11101101100101101010…
…10110001001101001000
310121112220212120011201211
432312112222301031020
5113204322332340034
62100440440222504
7133503221516206
oct16662652611510
93545825504654
101020435043144
11363844a85300
1214592576aa34
13752c3b3434a
1437564416076
151b8257b8d64
hexed96ab1348

1020435043144 has 48 divisors (see below), whose sum is σ = 2115968596560. Its totient is φ = 460988431200.

The previous prime is 1020435043109. The next prime is 1020435043151. The reversal of 1020435043144 is 4413405340201.

1020435043144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3075862 + ... + 3391429.

It is an arithmetic number, because the mean of its divisors is an integer number (44082679095).

Almost surely, 21020435043144 is an apocalyptic number.

It is an amenable number.

1020435043144 is an abundant number, since it is smaller than the sum of its proper divisors (1095533553416).

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

1020435043144 is a wasteful number, since it uses less digits than its factorization.

1020435043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467482 (or 6467467 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 1020435043144 in words is "one trillion, twenty billion, four hundred thirty-five million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 163 242 326 484 652 968 1304 1793 3586 7172 14344 19723 39446 78892 157784 6467291 12934582 25869164 51738328 71140201 142280402 284560804 569121608 782542211 1054168433 1565084422 2108336866 3130168844 4216673732 6260337688 8433347464 11595852763 23191705526 46383411052 92766822104 127554380393 255108760786 510217521572 1020435043144