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120045107424 = 25311585119429
BaseRepresentation
bin110111111001100111…
…1101111100011100000
3102110212011001022020210
41233303033233203200
53431323021414144
6131051543134120
711446554401634
oct1576317574340
9373764038223
10120045107424
1146a02373a90
121b322a44340
13b42164b858
145b4b328dc4
1531c8e15ab9
hex1bf33ef8e0

120045107424 has 96 divisors (see below), whose sum is σ = 343841984640. Its totient is φ = 36369216000.

The previous prime is 120045107423. The next prime is 120045107591. The reversal of 120045107424 is 424701540021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120045107391 and 120045107400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120045107423) 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 15 ways as a sum of consecutive naturals, for example, 6168942 + ... + 6188370.

It is an arithmetic number, because the mean of its divisors is an integer number (3581687340).

Almost surely, 2120045107424 is an apocalyptic number.

It is an amenable number.

120045107424 is an abundant number, since it is smaller than the sum of its proper divisors (223796877216).

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

120045107424 is a wasteful number, since it uses less digits than its factorization.

120045107424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25304 (or 25296 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 120045107424 its reverse (424701540021), we get a palindrome (544746647445).

The spelling of 120045107424 in words is "one hundred twenty billion, forty-five million, one hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5851 11702 17553 19429 23404 35106 38858 46808 58287 64361 70212 77716 93616 116574 128722 140424 155432 187232 193083 213719 233148 257444 280848 310864 386166 427438 466296 514888 561696 621728 641157 772332 854876 932592 1029776 1282314 1544664 1709752 1865184 2059552 2564628 3089328 3419504 5129256 6178656 6839008 10258512 20517024 113679079 227358158 341037237 454716316 682074474 909432632 1250469869 1364148948 1818865264 2500939738 2728297896 3637730528 3751409607 5001879476 5456595792 7502819214 10003758952 10913191584 15005638428 20007517904 30011276856 40015035808 60022553712 120045107424