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2044443744 = 253276531553
BaseRepresentation
bin111100111011011…
…1011110001100000
312021110222111120200
41321312323301200
513141334144434
6534511305200
7101443325250
oct17166736140
95243874520
102044443744
1195a042932
1249081b200
13267738735
14155747960
15be741199
hex79dbbc60

2044443744 has 144 divisors (see below), whose sum is σ = 6658902432. Its totient is φ = 582856704.

The previous prime is 2044443733. The next prime is 2044443761. The reversal of 2044443744 is 4473444402.

2044443744 is a `hidden beast` number, since 204 + 4 + 443 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2044443699 and 2044443708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315672 + ... + 1317224.

It is an arithmetic number, because the mean of its divisors is an integer number (46242378).

Almost surely, 22044443744 is an apocalyptic number.

2044443744 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 2044443744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329451216).

2044443744 is an abundant number, since it is smaller than the sum of its proper divisors (4614458688).

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

2044443744 is a wasteful number, since it uses less digits than its factorization.

2044443744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The square root of 2044443744 is about 45215.5254752170. The cubic root of 2044443744 is about 1269.1853630309.

The spelling of 2044443744 in words is "two billion, forty-four million, four hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 653 672 1008 1306 1553 1959 2016 2612 3106 3918 4571 4659 5224 5877 6212 7836 9142 9318 10448 10871 11754 12424 13713 13977 15672 18284 18636 20896 21742 23508 24848 27426 27954 31344 32613 36568 37272 41139 43484 47016 49696 54852 55908 62688 65226 73136 74544 82278 86968 94032 97839 109704 111816 130452 146272 149088 164556 173936 188064 195678 219408 223632 260904 329112 347872 391356 438816 447264 521808 658224 782712 1014109 1043616 1316448 1565424 2028218 3042327 3130848 4056436 6084654 7098763 8112872 9126981 12169308 14197526 16225744 18253962 21296289 24338616 28395052 32451488 36507924 42592578 48677232 56790104 63888867 73015848 85185156 97354464 113580208 127777734 146031696 170370312 227160416 255555468 292063392 340740624 511110936 681481248 1022221872 2044443744