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114554628480 = 2735371612537
BaseRepresentation
bin110101010101111111…
…1001110100110000000
3101221200111202002001210
41222223333032212000
53334101441102410
6124343051130120
711163525163455
oct1525377164600
9357614662053
10114554628480
1144645112986
121a250143940
13aa57cbc746
14578a06d82c
152ea6dc7220
hex1aabfce980

114554628480 has 128 divisors (see below), whose sum is σ = 375011837280. Its totient is φ = 29722263552.

The previous prime is 114554628457. The next prime is 114554628493. The reversal of 114554628480 is 84826455411.

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

It is a super-2 number, since 2×1145546284802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 735229 + ... + 877308.

Almost surely, 2114554628480 is an apocalyptic number.

114554628480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114554628480 is an abundant number, since it is smaller than the sum of its proper divisors (260457208800).

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

114554628480 is a wasteful number, since it uses less digits than its factorization.

114554628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612596 (or 1612584 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 114554628480 in words is "one hundred fourteen billion, five hundred fifty-four million, six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 35520 71040 1612537 3225074 4837611 6450148 8062685 9675222 12900296 16125370 19350444 24188055 25800592 32250740 38700888 48376110 51601184 59663869 64501480 77401776 96752220 103202368 119327738 129002960 154803552 178991607 193504440 206404736 238655476 258005920 298319345 309607104 357983214 387008880 477310952 516011840 596638690 619214208 715966428 774017760 894958035 954621904 1032023680 1193277380 1431932856 1548035520 1789916070 1909243808 2386554760 2863865712 3096071040 3579832140 3818487616 4773109520 5727731424 7159664280 7636975232 9546219040 11455462848 14319328560 19092438080 22910925696 28638657120 38184876160 57277314240 114554628480