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325142401113120 = 25352392928307911
BaseRepresentation
bin100100111101101110001110…
…1010100011101110000100000
31120122020022100222100021122210
41021323130131110131300200
5320104113114141104440
63111304205041002120
7125325522542664213
oct11173343524356040
91518208328307583
10325142401113120
1194667132a8aa68
1230572938323340
1310c56a4892a296
145a40d948d777a
15278ca7782da80
hex127b71d51dc20

325142401113120 has 96 divisors (see below), whose sum is σ = 1024241401249920. Its totient is φ = 86701013821440.

The previous prime is 325142401113083. The next prime is 325142401113163. The reversal of 325142401113120 is 21311104241523.

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

It is a super-2 number, since 2×3251424011131202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2668036 + ... + 25639875.

It is an arithmetic number, because the mean of its divisors is an integer number (10669181263020).

Almost surely, 2325142401113120 is an apocalyptic number.

325142401113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325142401113120 is an abundant number, since it is smaller than the sum of its proper divisors (699099000136800).

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

325142401113120 is a wasteful number, since it uses less digits than its factorization.

325142401113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28331858 (or 28331850 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 325142401113120 its reverse (21311104241523), we get a palindrome (346453505354643).

The spelling of 325142401113120 in words is "three hundred twenty-five trillion, one hundred forty-two billion, four hundred one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23929 47858 71787 95716 119645 143574 191432 239290 287148 358935 382864 478580 574296 717870 765728 957160 1148592 1435740 1914320 2297184 2871480 3828640 5742960 11485920 28307911 56615822 84923733 113231644 141539555 169847466 226463288 283079110 339694932 424618665 452926576 566158220 679389864 849237330 905853152 1132316440 1358779728 1698474660 2264632880 2717559456 3396949320 4529265760 6793898640 13587797280 677380002319 1354760004638 2032140006957 2709520009276 3386900011595 4064280013914 5419040018552 6773800023190 8128560027828 10160700034785 10838080037104 13547600046380 16257120055656 20321400069570 21676160074208 27095200092760 32514240111312 40642800139140 54190400185520 65028480222624 81285600278280 108380800371040 162571200556560 325142401113120