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121144413323424 = 2532437517817387
BaseRepresentation
bin11011100010111000100001…
…101110010000000010100000
3120212221021220110100101202210
4123202320201232100002200
5111334312224302322144
61105352550350042120
734342252332011511
oct3342704156200240
9525837813311683
10121144413323424
113566706a102477
1211706722aa9340
135279b3b70397a
1421cb5c6ccaa08
15e0139e2a9ab9
hex6e2e21b900a0

121144413323424 has 48 divisors (see below), whose sum is σ = 318134575569888. Its totient is φ = 40364900873472.

The previous prime is 121144413323419. The next prime is 121144413323447. The reversal of 121144413323424 is 424323314441121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1211444133234243 (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258674742 + ... + 259142645.

It is an arithmetic number, because the mean of its divisors is an integer number (6627803657706).

Almost surely, 2121144413323424 is an apocalyptic number.

It is an amenable number.

121144413323424 is an abundant number, since it is smaller than the sum of its proper divisors (196990162246464).

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

121144413323424 is a wasteful number, since it uses less digits than its factorization.

121144413323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517819837 (or 517819829 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 121144413323424 its reverse (424323314441121), we get a palindrome (545467727764545).

The spelling of 121144413323424 in words is "one hundred twenty-one trillion, one hundred forty-four billion, four hundred thirteen million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2437 4874 7311 9748 14622 19496 29244 38992 58488 77984 116976 233952 517817387 1035634774 1553452161 2071269548 3106904322 4142539096 6213808644 8285078192 12427617288 16570156384 24855234576 49710469152 1261920972119 2523841944238 3785762916357 5047683888476 7571525832714 10095367776952 15143051665428 20190735553904 30286103330856 40381471107808 60572206661712 121144413323424