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114065154252 = 2232717149178697
BaseRepresentation
bin110101000111011010…
…0000010000011001100
3101220102101201012122200
41222032310002003030
53332101134414002
6124222324041500
711145432546060
oct1521664020314
9356371635580
10114065154252
1144413895725
121a134233290
13a9aa78161a
145741057aa0
152e78e3cb1c
hex1a8ed020cc

114065154252 has 144 divisors (see below), whose sum is σ = 351248788800. Its totient is φ = 30466953216.

The previous prime is 114065154227. The next prime is 114065154257. The reversal of 114065154252 is 252451560411.

114065154252 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 65 + 1 + 542 + 52 = 666.

114065154252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114065154257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548968 + ... + 727664.

It is an arithmetic number, because the mean of its divisors is an integer number (2439227700).

Almost surely, 2114065154252 is an apocalyptic number.

114065154252 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 114065154252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175624394400).

114065154252 is an abundant number, since it is smaller than the sum of its proper divisors (237183634548).

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

114065154252 is a wasteful number, since it uses less digits than its factorization.

114065154252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178880 (or 178875 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114065154252 in words is "one hundred fourteen billion, sixty-five million, one hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 149 153 204 238 252 298 306 357 447 476 596 612 714 894 1043 1071 1341 1428 1788 2086 2142 2533 2682 3129 4172 4284 5066 5364 6258 7599 9387 10132 12516 15198 17731 18774 22797 30396 35462 37548 45594 53193 70924 91188 106386 159579 178697 212772 319158 357394 536091 638316 714788 1072182 1250879 1608273 2144364 2501758 3037849 3216546 3752637 5003516 6075698 6433092 7505274 9113547 11257911 12151396 15010548 18227094 21264943 22515822 26625853 27340641 36454188 42529886 45031644 53251706 54681282 63794829 79877559 85059772 106503412 109362564 127589658 159755118 186380971 191384487 239632677 255179316 319510236 372761942 382768974 452639501 479265354 559142913 745523884 765537948 905279002 958530708 1118285826 1357918503 1677428739 1810558004 2236571652 2715837006 3168476507 3354857478 4073755509 5431674012 6336953014 6709714956 8147511018 9505429521 12673906028 16295022036 19010859042 28516288563 38021718084 57032577126 114065154252