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13412411144 = 23111929318923
BaseRepresentation
bin11000111110111000…
…10010011100001000
31021121201211002012022
430133130102130020
5204432034124034
610054522304012
7653241420326
oct143734223410
937551732168
1013412411144
115762a58010
122723958008
13135996a472
14913440d16
15537767b2e
hex31f712708

13412411144 has 128 divisors (see below), whose sum is σ = 30841344000. Its totient is φ = 5396025600.

The previous prime is 13412411141. The next prime is 13412411183. The reversal of 13412411144 is 44111421431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13412411141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498667 + ... + 1507589.

It is an arithmetic number, because the mean of its divisors is an integer number (240948000).

Almost surely, 213412411144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420672000).

13412411144 is an abundant number, since it is smaller than the sum of its proper divisors (17428932856).

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

13412411144 is a wasteful number, since it uses less digits than its factorization.

13412411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9019 (or 9015 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 13412411144 its reverse (44111421431), we get a palindrome (57523832575).

The spelling of 13412411144 in words is "thirteen billion, four hundred twelve million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 29 31 38 44 58 62 76 88 116 124 152 209 232 248 319 341 418 551 589 638 682 836 899 1102 1178 1276 1364 1672 1798 2204 2356 2552 2728 3596 4408 4712 6061 6479 7192 8923 9889 12122 12958 17081 17846 19778 24244 25916 34162 35692 39556 48488 51832 68324 71384 79112 98153 136648 169537 187891 196306 258767 276613 339074 375782 392612 517534 553226 678148 751564 785224 1035068 1106452 1356296 1503128 1864907 2070136 2212904 2846437 3042743 3729814 4916573 5255647 5692874 6085486 7459628 8021777 9833146 10511294 11385748 12170972 14919256 16043554 19666292 21022588 22771496 24341944 32087108 39332584 42045176 54082303 57812117 64174216 88239547 108164606 115624234 152413763 176479094 216329212 231248468 304827526 352958188 432658424 462496936 609655052 705916376 1219310104 1676551393 3353102786 6706205572 13412411144