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1432144414292 = 2217291901338197
BaseRepresentation
bin10100110101110010011…
…101011000011001010100
312001220121121101020020112
4110311302131120121110
5141431012432224132
63013530145022152
7205316605444424
oct24656235303124
95056547336215
101432144414292
11502407205539
121b1686324958
13a508733a967
144d45d782484
15273c0175ab2
hex14d72758654

1432144414292 has 48 divisors (see below), whose sum is σ = 2745401798160. Its totient is φ = 650659387392.

The previous prime is 1432144414291. The next prime is 1432144414301. The reversal of 1432144414292 is 2924144412341.

It can be written as a sum of positive squares in 8 ways, for example, as 131417850256 + 1300726564036 = 362516^2 + 1140494^2 .

It is a super-2 number, since 2×14321444142922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432144414291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37474538 + ... + 37512734.

It is an arithmetic number, because the mean of its divisors is an integer number (57195870795).

Almost surely, 21432144414292 is an apocalyptic number.

It is an amenable number.

1432144414292 is a deficient number, since it is larger than the sum of its proper divisors (1313257383868).

1432144414292 is a wasteful number, since it uses less digits than its factorization.

1432144414292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57260 (or 57258 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The spelling of 1432144414292 in words is "one trillion, four hundred thirty-two billion, one hundred forty-four million, four hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 1972 19013 38026 38197 76052 76394 152788 323221 551377 646442 649349 1102754 1107713 1292884 1298698 2205508 2215426 2597396 4430852 9373409 18746818 18831121 37493636 37662242 75324484 726239561 1452479122 2904958244 12346072537 21060947269 24692145074 42121894538 49384290148 84243789076 358036103573 716072207146 1432144414292