Search a number
-
+
10254003144 = 23371119292037
BaseRepresentation
bin10011000110010111…
…11010101111001000
3222110121201022221020
421203023322233020
5132000011100034
64413254512440
7512050405620
oct114313725710
928417638836
1010254003144
114392132370
121ba2065720
13c75501ca8
146d3ba1880
15400333249
hex2632fabc8

10254003144 has 128 divisors (see below), whose sum is σ = 33642777600. Its totient is φ = 2523191040.

The previous prime is 10254003139. The next prime is 10254003157. The reversal of 10254003144 is 44130045201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110907 + ... + 181130.

It is an arithmetic number, because the mean of its divisors is an integer number (262834200).

Almost surely, 210254003144 is an apocalyptic number.

10254003144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10254003144 is an abundant number, since it is smaller than the sum of its proper divisors (23388774456).

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

10254003144 is a wasteful number, since it uses less digits than its factorization.

10254003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292083 (or 292079 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10254003144 its reverse (44130045201), we get a palindrome (54384048345).

The spelling of 10254003144 in words is "ten billion, two hundred fifty-four million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 4389 5016 5852 8778 11704 17556 35112 292037 584074 876111 1168148 1752222 2044259 2336296 3212407 3504444 4088518 5548703 6132777 6424814 7008888 8177036 9637221 11097406 12265554 12849628 16354072 16646109 19274442 22194812 22486849 24531108 25699256 33292218 38548884 38840921 44389624 44973698 49062216 61035733 66584436 67460547 77097768 77681842 89947396 116522763 122071466 133168872 134921094 155363684 179894792 183107199 233045526 244142932 269842188 310727368 366214398 427250131 466091052 488285864 539684376 732428796 854500262 932182104 1281750393 1464857592 1709000524 2563500786 3418001048 5127001572 10254003144