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13104331504440 = 23351160891630403
BaseRepresentation
bin1011111010110001011100…
…0001100011101100111000
31201101202120101122002120120
42332230113001203230320
53204200132331120230
643512014034453240
72521520356635621
oct276542701435470
951352511562516
1013104331504440
1141a2574561230
12157785a134220
1374096b998027
14334378450a48
1517ad18cca310
hexbeb17063b38

13104331504440 has 128 divisors (see below), whose sum is σ = 42893972755200. Its totient is φ = 3176283960320.

The previous prime is 13104331504423. The next prime is 13104331504447. The reversal of 13104331504440 is 4440513340131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104331504447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7222279 + ... + 8852681.

It is an arithmetic number, because the mean of its divisors is an integer number (335109162150).

Almost surely, 213104331504440 is an apocalyptic number.

13104331504440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104331504440 is an abundant number, since it is smaller than the sum of its proper divisors (29789641250760).

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

13104331504440 is a wasteful number, since it uses less digits than its factorization.

13104331504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636517 (or 1636513 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 13104331504440 its reverse (4440513340131), we get a palindrome (17544844844571).

The spelling of 13104331504440 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, five hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6089 12178 18267 24356 30445 36534 48712 60890 66979 73068 91335 121780 133958 146136 182670 200937 243560 267916 334895 365340 401874 535832 669790 730680 803748 1004685 1339580 1607496 1630403 2009370 2679160 3260806 4018740 4891209 6521612 8037480 8152015 9782418 13043224 16304030 17934433 19564836 24456045 32608060 35868866 39129672 48912090 53803299 65216120 71737732 89672165 97824180 107606598 143475464 179344330 195648360 215213196 269016495 358688660 430426392 538032990 717377320 1076065980 2152131960 9927523867 19855047734 29782571601 39710095468 49637619335 59565143202 79420190936 99275238670 109202762537 119130286404 148912858005 198550477340 218405525074 238260572808 297825716010 327608287611 397100954680 436811050148 546013812685 595651432020 655216575222 873622100296 1092027625370 1191302864040 1310433150444 1638041438055 2184055250740 2620866300888 3276082876110 4368110501480 6552165752220 13104331504440