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1432132413312 = 27317346963241
BaseRepresentation
bin10100110101110001101…
…111100110011110000000
312001220120202210111222210
4110311301233212132000
5141431001344211222
63013525035502120
7205316401442226
oct24656157463600
95056522714883
101432132413312
11502400458a77
121b16822b7940
13a50849c83a3
144d45bd3ab16
15273be0a4d0c
hex14d71be6780

1432132413312 has 128 divisors (see below), whose sum is σ = 4029097226400. Its totient is φ = 449159823360.

The previous prime is 1432132413289. The next prime is 1432132413347. The reversal of 1432132413312 is 2133142312341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1432132413312.

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, 22614012 + ... + 22677252.

Almost surely, 21432132413312 is an apocalyptic number.

1432132413312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432132413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014548613200).

1432132413312 is an abundant number, since it is smaller than the sum of its proper divisors (2596964813088).

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

1432132413312 is a wasteful number, since it uses less digits than its factorization.

1432132413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66744 (or 66732 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1432132413312 its reverse (2133142312341), we get a palindrome (3565274725653).

The spelling of 1432132413312 in words is "one trillion, four hundred thirty-two billion, one hundred thirty-two million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 3469 6528 6938 10407 13876 20814 27752 41628 55504 58973 63241 83256 111008 117946 126482 166512 176919 189723 222016 235892 252964 333024 353838 379446 444032 471784 505928 666048 707676 758892 943568 1011856 1075097 1332096 1415352 1517784 1887136 2023712 2150194 2830704 3035568 3225291 3774272 4047424 4300388 5661408 6071136 6450582 7548544 8094848 8600776 11322816 12142272 12901164 17201552 22645632 24284544 25802328 34403104 51604656 68806208 103209312 137612416 206418624 219383029 412837248 438766058 658149087 877532116 1316298174 1755064232 2632596348 3510128464 3729511493 5265192696 7020256928 7459022986 10530385392 11188534479 14040513856 14918045972 21060770784 22377068958 28081027712 29836091944 42121541568 44754137916 59672183888 84243083136 89508275832 119344367776 179016551664 238688735552 358033103328 477377471104 716066206656 1432132413312