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1144400204024 = 237113293956401
BaseRepresentation
bin10000101001110011100…
…100010101000011111000
311001101220012212211101122
4100221303210111003320
5122222212423012044
62233421420004412
7145452206143340
oct20516344250370
94041805784348
101144400204024
11401379098490
12165961390708
1383bbb66264c
143d564203d20
151eb7d911dee
hex10a739150f8

1144400204024 has 64 divisors (see below), whose sum is σ = 2675349907200. Its totient is φ = 445848768000.

The previous prime is 1144400204011. The next prime is 1144400204039. The reversal of 1144400204024 is 4204020044411.

It is a junction number, because it is equal to n+sod(n) for n = 1144400203984 and 1144400204002.

It is a congruent number.

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, 20262224 + ... + 20318624.

It is an arithmetic number, because the mean of its divisors is an integer number (41802342300).

Almost surely, 21144400204024 is an apocalyptic number.

1144400204024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144400204024 is an abundant number, since it is smaller than the sum of its proper divisors (1530949703176).

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

1144400204024 is a wasteful number, since it uses less digits than its factorization.

1144400204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89364 (or 89360 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1144400204024 its reverse (4204020044411), we get a palindrome (5348420248435).

The spelling of 1144400204024 in words is "one trillion, one hundred forty-four billion, four hundred million, two hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 32939 56401 65878 112802 131756 225604 230573 263512 362329 394807 451208 461146 620411 724658 789614 922292 1240822 1449316 1579228 1844584 2481644 2536303 2898632 3158456 4342877 4963288 5072606 8685754 10145212 17371508 20290424 34743016 1857792539 3715585078 7431170156 13004547773 14862340312 20435717929 26009095546 40871435858 52018191092 81742871716 104036382184 143050025503 163485743432 286100051006 572200102012 1144400204024