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114050507776 = 2101915138821
BaseRepresentation
bin110101000110111110…
…0001010010000000000
3101220101101011002110121
41222031330022100000
53332033412222101
6124221042110024
711145164215012
oct1521574122000
9356341132417
10114050507776
11444065a15a7
121a12b34b314
13a9a7723b7a
14573d1241b2
152e779e80a1
hex1a8df0a400

114050507776 has 88 divisors (see below), whose sum is σ = 241584647360. Its totient is φ = 53664768000.

The previous prime is 114050507761. The next prime is 114050507801. The reversal of 114050507776 is 677705050411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2918446 + ... + 2957266.

Almost surely, 2114050507776 is an apocalyptic number.

114050507776 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 114050507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120792323680).

114050507776 is an abundant number, since it is smaller than the sum of its proper divisors (127534139584).

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

114050507776 is a wasteful number, since it uses less digits than its factorization.

114050507776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39011 (or 38993 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 43.

The spelling of 114050507776 in words is "one hundred fourteen billion, fifty million, five hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 151 152 256 302 304 512 604 608 1024 1208 1216 2416 2432 2869 4832 4864 5738 9664 9728 11476 19328 19456 22952 38656 38821 45904 77312 77642 91808 154624 155284 183616 310568 367232 621136 734464 737599 1242272 1468928 1475198 2484544 2937856 2950396 4969088 5861971 5900792 9938176 11723942 11801584 19876352 23447884 23603168 39752704 46895768 47206336 93791536 94412672 111377449 187583072 188825344 222754898 375166144 377650688 445509796 750332288 755301376 891019592 1500664576 1782039184 3001329152 3564078368 6002658304 7128156736 14256313472 28512626944 57025253888 114050507776