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2044032144 = 2437113714947
BaseRepresentation
bin111100111010101…
…0111010010010000
312021110012120222020
41321311113102100
513141233012034
6534454411440
7101436662250
oct17165272220
95243176866
102044032144
11959891670
12490660b80
1326762329b
1415567b960
15be6ae249
hex79d57490

2044032144 has 160 divisors (see below), whose sum is σ = 6761757696. Its totient is φ = 516533760.

The previous prime is 2044032139. The next prime is 2044032157. The reversal of 2044032144 is 4412304402.

It is a happy number.

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, 129279 + ... + 144225.

Almost surely, 22044032144 is an apocalyptic number.

2044032144 is a gapful number since it is divisible by the number (24) 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 2044032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380878848).

2044032144 is an abundant number, since it is smaller than the sum of its proper divisors (4717725552).

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

2044032144 is a wasteful number, since it uses less digits than its factorization.

2044032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2044032144 is about 45210.9737121421. The cubic root of 2044032144 is about 1269.1001839109.

Adding to 2044032144 its reverse (4412304402), we get a palindrome (6456336546).

The spelling of 2044032144 in words is "two billion, forty-four million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2442 2849 3108 3256 3696 4144 4884 5698 6216 6512 8547 9768 11396 12432 14947 17094 19536 22792 29894 34188 44841 45584 59788 68376 89682 104629 119576 136752 164417 179364 209258 239152 313887 328834 358728 418516 493251 553039 627774 657668 717456 837032 986502 1106078 1150919 1255548 1315336 1659117 1674064 1973004 2212156 2301838 2511096 2630672 3318234 3452757 3871273 3946008 4424312 4603676 5022192 6083429 6636468 6905514 7742546 7892016 8848624 9207352 11613819 12166858 13272936 13811028 15485092 18250287 18414704 23227638 24333716 26545872 27622056 30970184 36500574 42584003 46455276 48667432 55244112 61940368 73001148 85168006 92910552 97334864 127752009 146002296 170336012 185821104 255504018 292004592 340672024 511008036 681344048 1022016072 2044032144