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1013210040444 = 2237269331135469
BaseRepresentation
bin11101011111010000000…
…01100100100001111100
310120212021100110000021020
432233220001210201330
5113100023232243234
62053243503304140
7133126201146330
oct16575001444174
93525240400236
101013210040444
11360777720898
12144449bab050
137471202b914
143707aa497c0
151b551357549
hexebe806487c

1013210040444 has 96 divisors (see below), whose sum is σ = 2720150899200. Its totient is φ = 287538958080.

The previous prime is 1013210040433. The next prime is 1013210040481. The reversal of 1013210040444 is 4440400123101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7411542 + ... + 7547010.

It is an arithmetic number, because the mean of its divisors is an integer number (28334905200).

Almost surely, 21013210040444 is an apocalyptic number.

1013210040444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1013210040444 is an abundant number, since it is smaller than the sum of its proper divisors (1706940858756).

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

1013210040444 is a wasteful number, since it uses less digits than its factorization.

1013210040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136083 (or 136081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1013210040444 its reverse (4440400123101), we get a palindrome (5453610163545).

The spelling of 1013210040444 in words is "one trillion, thirteen billion, two hundred ten million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 269 331 538 662 807 993 1076 1324 1614 1883 1986 2317 3228 3766 3972 4634 5649 6951 7532 9268 11298 13902 22596 27804 89039 135469 178078 267117 270938 356156 406407 534234 541876 623273 812814 948283 1068468 1246546 1625628 1869819 1896566 2493092 2844849 3739638 3793132 5689698 7479276 11379396 36441161 44840239 72882322 89680478 109323483 134520717 145764644 179360956 218646966 255088127 269041434 313881673 437293932 510176254 538082868 627763346 765264381 941645019 1020352508 1255526692 1530528762 1883290038 3061057524 3766580076 12062024291 24124048582 36186072873 48248097164 72372145746 84434170037 144744291492 168868340074 253302510111 337736680148 506605020222 1013210040444