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1416434114052 = 2232397764312967
BaseRepresentation
bin10100100111001010000…
…011010101111000000100
312000102001201200021210200
4110213022003111320010
5141201324113122202
63002411214450500
7204222362214006
oct24471203257004
95012051607720
101416434114052
114a6785149431
121aa620b03a30
13a37525b7109
144c7ad0a2376
1526ca0d06e1c
hex149ca0d5e04

1416434114052 has 72 divisors (see below), whose sum is σ = 3590195883456. Its totient is φ = 470857489344.

The previous prime is 1416434114047. The next prime is 1416434114089. The reversal of 1416434114052 is 2504114346141.

1416434114052 is a `hidden beast` number, since 1 + 4 + 1 + 643 + 4 + 1 + 1 + 4 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1416434113998 and 1416434114016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109227273 + ... + 109240239.

Almost surely, 21416434114052 is an apocalyptic number.

1416434114052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1416434114052 is an abundant number, since it is smaller than the sum of its proper divisors (2173761769404).

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

1416434114052 is a wasteful number, since it uses less digits than its factorization.

1416434114052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21017 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1416434114052 in words is "one trillion, four hundred sixteen billion, four hundred thirty-four million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 397 794 1191 1588 2382 3573 4764 7146 7643 12967 14292 15286 22929 25934 30572 38901 45858 51868 68787 77802 91716 116703 137574 155604 233406 275148 466812 3034271 5147899 6068542 9102813 10295798 12137084 15443697 18205626 20591596 27308439 30887394 36411252 46331091 54616878 61774788 92662182 99106781 109233756 185324364 198213562 297320343 396427124 594640686 891961029 1189281372 1783922058 3567844116 39345392057 78690784114 118036176171 157381568228 236072352342 354108528513 472144704684 708217057026 1416434114052