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114212537776 = 24237383181283
BaseRepresentation
bin110101001011110011…
…0010000010110110000
3101220210200001001211201
41222113212100112300
53332401402202101
6124245111020544
711152202360461
oct1522746202660
9356720031751
10114212537776
114448a000097
121a17566a754
13aa021755cc
145756860d68
152e86d51e01
hex1a979905b0

114212537776 has 160 divisors (see below), whose sum is σ = 239041700352. Its totient is φ = 52744919040.

The previous prime is 114212537737. The next prime is 114212537801. The reversal of 114212537776 is 677735212411.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 403577731 + ... + 403578013.

Almost surely, 2114212537776 is an apocalyptic number.

114212537776 is a gapful number since it is divisible by the number (16) 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 114212537776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520850176).

114212537776 is an abundant number, since it is smaller than the sum of its proper divisors (124829162576).

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

114212537776 is a wasteful number, since it uses less digits than its factorization.

114212537776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 493920, while the sum is 46.

The spelling of 114212537776 in words is "one hundred fourteen billion, two hundred twelve million, five hundred thirty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 73 83 92 146 166 181 184 283 292 332 362 368 566 584 664 724 1132 1168 1328 1448 1679 1909 2264 2896 3358 3818 4163 4528 6059 6509 6716 7636 8326 12118 13018 13213 13432 15023 15272 16652 20659 23489 24236 26036 26426 26864 30046 30544 33304 41318 46978 48472 51223 52072 52852 60092 66608 82636 93956 96944 102446 104144 105704 120184 139357 165272 187912 204892 211408 240368 278714 303899 330544 345529 375824 409784 475157 540247 557428 607798 691058 819568 950314 1080494 1096679 1114856 1178129 1215596 1382116 1714697 1900628 2160988 2193358 2229712 2356258 2431192 2764232 3429394 3739279 3801256 4251509 4321976 4386716 4712516 4862384 5528464 6858788 7478558 7602512 8503018 8643952 8773432 9425032 13717576 14957116 17006036 17546864 18850064 25223617 27435152 29914232 34012072 39438031 50447234 59828464 68024144 78876062 86003417 97784707 100894468 157752124 172006834 195569414 201788936 310360157 315504248 344013668 391138828 403577872 620720314 631008496 688027336 782277656 1241440628 1376054672 1564555312 2482881256 4965762512 7138283611 14276567222 28553134444 57106268888 114212537776