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1311032104440 = 23353727980473
BaseRepresentation
bin10011000100111111100…
…110100101010111111000
311122100000002012102110220
4103010333212211113320
5132434443204320230
62442140235540040
7163501412006232
oct23047746452770
94570002172426
101311032104440
11466007498583
12192105bba620
13968258828a6
1447650815252
1524182706d10
hex1313f9a55f8

1311032104440 has 96 divisors (see below), whose sum is σ = 4042269690480. Its totient is φ = 340159638528.

The previous prime is 1311032104423. The next prime is 1311032104451. The reversal of 1311032104440 is 444012301131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311032104440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3825957 + ... + 4154516.

Almost surely, 21311032104440 is an apocalyptic number.

1311032104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311032104440 is an abundant number, since it is smaller than the sum of its proper divisors (2731237586040).

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

1311032104440 is a wasteful number, since it uses less digits than its factorization.

1311032104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980561 (or 7980520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311032104440 its reverse (444012301131), we get a palindrome (1755044405571).

The spelling of 1311032104440 in words is "one trillion, three hundred eleven billion, thirty-two million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1369 1480 2220 2738 4107 4440 5476 6845 8214 10952 13690 16428 20535 27380 32856 41070 54760 82140 164280 7980473 15960946 23941419 31921892 39902365 47882838 63843784 79804730 95765676 119707095 159609460 191531352 239414190 295277501 319218920 478828380 590555002 885832503 957656760 1181110004 1476387505 1771665006 2362220008 2952775010 3543330012 4429162515 5905550020 7086660024 8858325030 10925267537 11811100040 17716650060 21850535074 32775802611 35433300120 43701070148 54626337685 65551605222 87402140296 109252675370 131103210444 163879013055 218505350740 262206420888 327758026110 437010701480 655516052220 1311032104440