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114524215245144 = 233317113276004529
BaseRepresentation
bin11010000010100010111111…
…001010101111100101011000
3120000111102000110201002211000
4122002202333022233211120
5110002331043100321034
61043323410445505000
733060046546553565
oct3202427712574530
9500442013632730
10114524215245144
11335444a0958351
1210a17687b72160
134bb9782ca8383
14203d00452d86c
15d3908715d599
hex6828bf2af958

114524215245144 has 128 divisors (see below), whose sum is σ = 339816777336000. Its totient is φ = 35611208220672.

The previous prime is 114524215245137. The next prime is 114524215245157. The reversal of 114524215245144 is 441542512425411.

114524215245144 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 4 + 2 + 152 + 451 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114524215245144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137587329 + ... + 138417200.

Almost surely, 2114524215245144 is an apocalyptic number.

It is an amenable number.

114524215245144 is an abundant number, since it is smaller than the sum of its proper divisors (225292562090856).

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

114524215245144 is a wasteful number, since it uses less digits than its factorization.

114524215245144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276004674 (or 276004664 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The spelling of 114524215245144 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred fifteen million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 113 136 153 204 216 226 306 339 408 452 459 612 678 904 918 1017 1224 1356 1836 1921 2034 2712 3051 3672 3842 4068 5763 6102 7684 8136 11526 12204 15368 17289 23052 24408 34578 46104 51867 69156 103734 138312 207468 414936 276004529 552009058 828013587 1104018116 1656027174 2208036232 2484040761 3312054348 4692076993 4968081522 6624108696 7452122283 9384153986 9936163044 14076230979 14904244566 18768307972 19872326088 28152461958 29808489132 31188511777 37536615944 42228692937 56304923916 59616978264 62377023554 84457385874 93565535331 112609847832 124754047108 126686078811 168914771748 187131070662 249508094216 253372157622 280696605993 337829543496 374262141324 506744315244 530204700209 561393211986 748524282648 842089817979 1013488630488 1060409400418 1122786423972 1590614100627 1684179635958 2120818800836 2245572847944 3181228201254 3368359271916 4241637601672 4771842301881 6362456402508 6736718543832 9543684603762 12724912805016 14315526905643 19087369207524 28631053811286 38174738415048 57262107622572 114524215245144