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2144560404 = 2237173721097
BaseRepresentation
bin111111111010011…
…0110010100010100
312112110100221211010
41333310312110110
513343001413104
6552445212220
7104100314460
oct17764662424
95473327733
102144560404
11a00603a78
124ba261070
132823c036c
14164b694a0
15c841a489
hex7fd36514

2144560404 has 144 divisors (see below), whose sum is σ = 6228980352. Its totient is φ = 560590848.

The previous prime is 2144560403. The next prime is 2144560409. The reversal of 2144560404 is 4040654412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144560403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1954384 + ... + 1955480.

It is an arithmetic number, because the mean of its divisors is an integer number (43256808).

Almost surely, 22144560404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144560404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114490176).

2144560404 is an abundant number, since it is smaller than the sum of its proper divisors (4084419948).

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

2144560404 is a wasteful number, since it uses less digits than its factorization.

2144560404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2144560404 is about 46309.3986572920. The cubic root of 2144560404 is about 1289.5734831762.

The spelling of 2144560404 in words is "two billion, one hundred forty-four million, five hundred sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 148 204 222 238 259 357 444 476 518 629 714 777 1036 1097 1258 1369 1428 1554 1887 2194 2516 2738 3108 3291 3774 4107 4388 4403 5476 6582 7548 7679 8214 8806 9583 13164 13209 15358 16428 17612 18649 19166 23037 23273 26418 28749 30716 37298 38332 40589 46074 46546 52836 55947 57498 69819 74596 81178 92148 93092 111894 114996 121767 130543 139638 162356 162911 223788 243534 261086 279276 284123 325822 391629 487068 488733 522172 568246 651644 690013 783258 852369 977466 1136492 1380026 1501793 1566516 1704738 1954932 2070039 2760052 3003586 3409476 4140078 4505379 4830091 6007172 8280156 9010758 9660182 10512551 14490273 18021516 19320364 21025102 25530481 28980546 31537653 42050204 51060962 57961092 63075306 76591443 102121924 126150612 153182886 178713367 306365772 357426734 536140101 714853468 1072280202 2144560404