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114492903424 = 2121723112
BaseRepresentation
bin110101010100001001…
…1110001000000000000
3101221112012121010012121
41222220103301000000
53333440140402144
6124333004134024
711162145423154
oct1525023610000
9357465533177
10114492903424
1144613293a39
121a233537314
13aa4828a543
145781ba3064
152ea1783384
hex1aa84f1000

114492903424 has 117 divisors (see below), whose sum is σ = 244002772021. Its totient is φ = 53705768960.

The previous prime is 114492903419. The next prime is 114492903431. The reversal of 114492903424 is 424309294411.

The square root of 114492903424 is 338368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89138073600 + 25354829824 = 298560^2 + 159232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368144229 + ... + 368144539.

Almost surely, 2114492903424 is an apocalyptic number.

114492903424 is the 338368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114492903424

114492903424 is an abundant number, since it is smaller than the sum of its proper divisors (129509868597).

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

114492903424 is an frugal number, since it uses more digits than its factorization.

114492903424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 114492903424 in words is "one hundred fourteen billion, four hundred ninety-two million, nine hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 311 512 544 578 622 1024 1088 1156 1244 2048 2176 2312 2488 4096 4352 4624 4976 5287 8704 9248 9952 10574 17408 18496 19904 21148 34816 36992 39808 42296 69632 73984 79616 84592 89879 96721 147968 159232 169184 179758 193442 295936 318464 338368 359516 386884 591872 636928 676736 719032 773768 1183744 1273856 1353472 1438064 1547536 1644257 2706944 2876128 3095072 3288514 5413888 5752256 6190144 6577028 10827776 11504512 12380288 13154056 21655552 23009024 24760576 26308112 27952369 46018048 49521152 52616224 55904738 92036096 99042304 105232448 111809476 184072192 198084608 210464896 223618952 368144384 396169216 420929792 447237904 841859584 894475808 1683719168 1788951616 3367438336 3577903232 6734876672 7155806464 14311612928 28623225856 57246451712 114492903424