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114614574464 = 27131723176161
BaseRepresentation
bin110101010111110001…
…1111001110110000000
3101221211200112122111102
41222233203321312000
53334212312340324
6124353032033532
711165153544215
oct1525743716600
9357750478442
10114614574464
1144675a37215
121a2682328a8
13aa6754ac40
145793dd5b0c
152eac2b8dae
hex1aaf8f9d80

114614574464 has 128 divisors (see below), whose sum is σ = 271684082880. Its totient is φ = 47622389760.

The previous prime is 114614574457. The next prime is 114614574491. The reversal of 114614574464 is 464475416411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562544 + ... + 738704.

Almost surely, 2114614574464 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 114614574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135842041440).

114614574464 is an abundant number, since it is smaller than the sum of its proper divisors (157069508416).

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

114614574464 is a wasteful number, since it uses less digits than its factorization.

114614574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176228 (or 176216 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The spelling of 114614574464 in words is "one hundred fourteen billion, six hundred fourteen million, five hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 128 136 184 208 221 272 299 368 391 416 442 544 598 736 782 832 884 1088 1196 1472 1564 1664 1768 2176 2392 2944 3128 3536 4784 5083 6256 7072 9568 10166 12512 14144 19136 20332 25024 28288 38272 40664 50048 81328 162656 176161 325312 352322 650624 704644 1409288 2290093 2818576 2994737 4051703 4580186 5637152 5989474 8103406 9160372 11274304 11978948 16206812 18320744 22548608 23957896 32413624 36641488 38931581 47915792 52672139 64827248 68878951 73282976 77863162 95831584 105344278 129654496 137757902 146565952 155726324 191663168 210688556 259308992 275515804 293131904 311452648 383326336 421377112 518617984 551031608 622905296 842754224 895426363 1102063216 1245810592 1685508448 1790852726 2204126432 2491621184 3371016896 3581705452 4408252864 4983242368 6742033792 7163410904 8816505728 14326821808 28653643616 57307287232 114614574464