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114710744456 = 237112327892903
BaseRepresentation
bin110101011010101001…
…0110000110110001000
3101222002101111120220222
41222311102300312020
53334411422310311
6124410345205212
711200432145210
oct1526522606610
9358071446828
10114710744456
1144715252150
121a294490808
13aa81450369
1457a2aab240
152eb5963adb
hex1ab54b0d88

114710744456 has 128 divisors (see below), whose sum is σ = 280010649600. Its totient is φ = 42719297280.

The previous prime is 114710744333. The next prime is 114710744483. The reversal of 114710744456 is 654447017411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39513101 + ... + 39516003.

It is an arithmetic number, because the mean of its divisors is an integer number (2187583200).

Almost surely, 2114710744456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114710744456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140005324800).

114710744456 is an abundant number, since it is smaller than the sum of its proper divisors (165299905144).

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

114710744456 is a wasteful number, since it uses less digits than its factorization.

114710744456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 114710744456 in words is "one hundred fourteen billion, seven hundred ten million, seven hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 2789 2903 3542 5578 5806 7084 11156 11612 14168 19523 20321 22312 23224 30679 31933 39046 40642 61358 63866 64147 66769 78092 81284 122716 127732 128294 133538 156184 162568 214753 223531 245432 255464 256588 267076 429506 447062 449029 467383 513176 534152 705617 734459 859012 894124 898058 934766 1411234 1468918 1718024 1788248 1796116 1869532 2822468 2937836 3592232 3739064 4939319 5141213 5644936 5875672 8096467 9878638 10282426 16192934 19757276 20564852 32385868 39514552 41129704 56675269 64771736 89061137 113350538 178122274 186218741 226701076 356244548 372437482 453402152 623427959 712489096 744874964 1246855918 1303531187 1489749928 2048406151 2493711836 2607062374 4096812302 4987423672 5214124748 8193624604 10428249496 14338843057 16387249208 28677686114 57355372228 114710744456