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114697919400 = 233521910061221
BaseRepresentation
bin110101011010010000…
…1110101101110101000
3101222001111101000020220
41222310201311232220
53334400131410100
6124405210250040
711200215141321
oct1526441655650
9358044330226
10114697919400
1144708a92529
121a290126920
13aa7b8ac97c
1457a10cd448
152eb477daa0
hex1ab4875ba8

114697919400 has 96 divisors (see below), whose sum is σ = 374277458400. Its totient is φ = 28976313600.

The previous prime is 114697919387. The next prime is 114697919431. The reversal of 114697919400 is 4919796411.

It is a super-2 number, since 2×1146979194002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5019211 + ... + 5042010.

It is an arithmetic number, because the mean of its divisors is an integer number (3898723525).

Almost surely, 2114697919400 is an apocalyptic number.

114697919400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114697919400 is an abundant number, since it is smaller than the sum of its proper divisors (259579539000).

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

114697919400 is a wasteful number, since it uses less digits than its factorization.

114697919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061259 (or 10061250 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 114697919400 in words is "one hundred fourteen billion, six hundred ninety-seven million, nine hundred nineteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 10061221 20122442 30183663 40244884 50306105 60367326 80489768 100612210 120734652 150918315 191163199 201224420 241469304 251530525 301836630 382326398 402448840 503061050 573489597 603673260 754591575 764652796 955815995 1006122100 1146979194 1207346520 1509183150 1529305592 1911631990 2012244200 2293958388 2867447985 3018366300 3823263980 4587916776 4779079975 5734895970 6036732600 7646527960 9558159950 11469791940 14337239925 19116319900 22939583880 28674479850 38232639800 57348959700 114697919400