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13414242100104 = 23321732429337949
BaseRepresentation
bin1100001100110011111100…
…1000101010001110001000
31202111101111121002112202100
43003030333020222032020
53224234331434200404
644310230122233400
72553101265351216
oct303147710521610
952441447075670
1013414242100104
114301a47a5875a
12160792a655860
13763c5ab10311
143453778c1cb6
15183e06586d39
hexc333f22a388

13414242100104 has 96 divisors (see below), whose sum is σ = 38468611935000. Its totient is φ = 4208247453696.

The previous prime is 13414242100037. The next prime is 13414242100141. The reversal of 13414242100104 is 40100124241431.

13414242100104 is a `hidden beast` number, since 1 + 3 + 414 + 2 + 42 + 100 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11971115604900 + 1443126495204 = 3459930^2 + 1201302^2 .

It is a super-2 number, since 2×134142421001042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39524122 + ... + 39862070.

Almost surely, 213414242100104 is an apocalyptic number.

It is an amenable number.

13414242100104 is an abundant number, since it is smaller than the sum of its proper divisors (25054369834896).

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

13414242100104 is a wasteful number, since it uses less digits than its factorization.

13414242100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370407 (or 370400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13414242100104 its reverse (40100124241431), we get a palindrome (53514366341535).

The spelling of 13414242100104 in words is "thirteen trillion, four hundred fourteen billion, two hundred forty-two million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 32429 64858 97287 129716 194574 259432 291861 337949 389148 551293 583722 675898 778296 1013847 1102586 1167444 1351796 1653879 2027694 2205172 2334888 2703592 3041541 3307758 4055388 4410344 4961637 5745133 6083082 6615516 8110776 9923274 11490266 12166164 13231032 17235399 19846548 22980532 24332328 34470798 39693096 45961064 51706197 68941596 103412394 137883192 206824788 413649576 10959348121 21918696242 32878044363 43837392484 65756088726 87674784968 98634133089 131512177452 186308918057 197268266178 263024354904 372617836114 394536532356 558926754171 745235672228 789073064712 1117853508342 1490471344456 1676780262513 2235707016684 3353560525026 4471414033368 6707121050052 13414242100104