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114727150872 = 23334153244429
BaseRepresentation
bin110101011011001000…
…1010110010100011000
3101222010112101010022000
41222312101112110120
53334430122311442
6124412133001000
711201021456265
oct1526621262430
9358115333260
10114727150872
1144723538574
121a299a83160
13aa84975bb9
1457a4d3c26c
152eb7104d4c
hex1ab6456518

114727150872 has 128 divisors (see below), whose sum is σ = 332620344000. Its totient is φ = 36605537280.

The previous prime is 114727150849. The next prime is 114727150907. The reversal of 114727150872 is 278051727411.

It is a happy number.

114727150872 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 71 + 508 + 72 = 666.

It is a congruent number.

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, 347154 + ... + 591582.

Almost surely, 2114727150872 is an apocalyptic number.

114727150872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114727150872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166310172000).

114727150872 is an abundant number, since it is smaller than the sum of its proper divisors (217893193128).

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

114727150872 is a wasteful number, since it uses less digits than its factorization.

114727150872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244538 (or 244528 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 114727150872 in words is "one hundred fourteen billion, seven hundred twenty-seven million, one hundred fifty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 53 54 72 82 106 108 123 159 164 212 216 246 318 328 369 424 477 492 636 738 954 984 1107 1272 1431 1476 1908 2173 2214 2862 2952 3816 4346 4428 5724 6519 8692 8856 11448 13038 17384 19557 26076 39114 52152 58671 78228 117342 156456 234684 244429 469368 488858 733287 977716 1466574 1955432 2199861 2933148 4399722 5866296 6599583 8799444 10021589 12954737 13199166 17598888 20043178 25909474 26398332 30064767 38864211 40086356 51818948 52796664 60129534 77728422 80172712 90194301 103637896 116592633 120259068 155456844 180388602 233185266 240518136 270582903 310913688 349777899 360777204 466370532 531144217 541165806 699555798 721554408 932741064 1062288434 1082331612 1399111596 1593432651 2124576868 2164663224 2798223192 3186865302 4249153736 4780297953 6373730604 9560595906 12747461208 14340893859 19121191812 28681787718 38242383624 57363575436 114727150872