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1418104224 = 253243307373
BaseRepresentation
bin101010010000110…
…1000110110100000
310122211102011021200
41110201220312200
510401013313344
6352414521200
750066454435
oct12441506640
93584364250
101418104224
11668534769
12336b06200
13197a4a034
14d64a5b8c
158476e069
hex54868da0

1418104224 has 144 divisors (see below), whose sum is σ = 4151058912. Its totient is φ = 458970624.

The previous prime is 1418104211. The next prime is 1418104231. The reversal of 1418104224 is 4224018141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14181042242 = 4022039180253284352, which 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, 3801702 + ... + 3802074.

It is an arithmetic number, because the mean of its divisors is an integer number (28826798).

Almost surely, 21418104224 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 1418104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075529456).

1418104224 is an abundant number, since it is smaller than the sum of its proper divisors (2732954688).

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

1418104224 is a wasteful number, since it uses less digits than its factorization.

1418104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1418104224 is about 37657.7246258985. The cubic root of 1418104224 is about 1123.4904458657.

The spelling of 1418104224 in words is "one billion, four hundred eighteen million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 307 344 373 387 516 614 688 746 774 921 1032 1119 1228 1376 1492 1548 1842 2064 2238 2456 2763 2984 3096 3357 3684 4128 4476 4912 5526 5968 6192 6714 7368 8952 9824 11052 11936 12384 13201 13428 14736 16039 17904 22104 26402 26856 29472 32078 35808 39603 44208 48117 52804 53712 64156 79206 88416 96234 105608 107424 114511 118809 128312 144351 158412 192468 211216 229022 237618 256624 288702 316824 343533 384936 422432 458044 475236 513248 577404 633648 687066 769872 916088 950472 1030599 1154808 1267296 1374132 1539744 1832176 1900944 2061198 2309616 2748264 3664352 3801888 4122396 4619232 4923973 5496528 8244792 9847946 10993056 14771919 16489584 19695892 29543838 32979168 39391784 44315757 59087676 78783568 88631514 118175352 157567136 177263028 236350704 354526056 472701408 709052112 1418104224