Search a number
-
+
251136620240 = 24511793612437
BaseRepresentation
bin1110100111100011101…
…0001011011011010000
3220000020010212010222012
43221320322023123100
513103311433321430
6311212013202052
724100254023252
oct3517072133320
9800203763865
10251136620240
1197563090920
1240809190328
131a8b36c1c4c
14c225763cd2
1567ec9d5695
hex3a78e8b6d0

251136620240 has 80 divisors (see below), whose sum is σ = 645036929280. Its totient is φ = 90166402560.

The previous prime is 251136620233. The next prime is 251136620351. The reversal of 251136620240 is 42026631152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 251136620197 and 251136620206.

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, 1736699 + ... + 1875738.

It is an arithmetic number, because the mean of its divisors is an integer number (8062961616).

Almost surely, 2251136620240 is an apocalyptic number.

251136620240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251136620240 is an abundant number, since it is smaller than the sum of its proper divisors (393900309040).

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

251136620240 is a wasteful number, since it uses less digits than its factorization.

251136620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612540 (or 3612534 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 251136620240 in words is "two hundred fifty-one billion, one hundred thirty-six million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 395 440 632 790 869 880 1264 1580 1738 3160 3476 4345 6320 6952 8690 13904 17380 34760 69520 3612437 7224874 14449748 18062185 28899496 36124370 39736807 57798992 72248740 79473614 144497480 158947228 198684035 285382523 288994960 317894456 397368070 570765046 635788912 794736140 1141530092 1426912615 1589472280 2283060184 2853825230 3139207753 3178944560 4566120368 5707650460 6278415506 11415300920 12556831012 15696038765 22830601840 25113662024 31392077530 50227324048 62784155060 125568310120 251136620240