Search a number
-
+
1253056042336 = 25731414401259
BaseRepresentation
bin10010001110111111111…
…101011101010101100000
311102210100122000022120111
4102032333331131111200
5131012224321323321
62355351311421104
7156346616423140
oct22167775352540
94383318008514
101253056042336
11443466517a6a
12182a25b24794
13912165316b7
1444910a8c920
15228dc9e45e1
hex123bff5d560

1253056042336 has 96 divisors (see below), whose sum is σ = 2981307893760. Its totient is φ = 507024921600.

The previous prime is 1253056042331. The next prime is 1253056042379. The reversal of 1253056042336 is 6332406503521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253056042331) 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, 1915926 + ... + 2485333.

It is an arithmetic number, because the mean of its divisors is an integer number (31055290560).

Almost surely, 21253056042336 is an apocalyptic number.

1253056042336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253056042336 is an abundant number, since it is smaller than the sum of its proper divisors (1728251851424).

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

1253056042336 is a wasteful number, since it uses less digits than its factorization.

1253056042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401348 (or 4401340 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 1253056042336 in words is "one trillion, two hundred fifty-three billion, fifty-six million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 82 112 124 164 217 224 248 287 328 434 496 574 656 868 992 1148 1271 1312 1736 2296 2542 3472 4592 5084 6944 8897 9184 10168 17794 20336 35588 40672 71176 142352 284704 4401259 8802518 17605036 30808813 35210072 61617626 70420144 123235252 136439029 140840288 180451619 246470504 272878058 360903238 492941008 545756116 721806476 955073203 985882016 1091512232 1263161333 1443612952 1910146406 2183024464 2526322666 2887225904 3820292812 4366048928 5052645332 5594000189 5774451808 7640585624 10105290664 11188000378 15281171248 20210581328 22376000756 30562342496 39158001323 40421162656 44752001512 78316002646 89504003024 156632005292 179008006048 313264010584 626528021168 1253056042336