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114600046230 = 232517541138451
BaseRepresentation
bin110101010111010110…
…0011110111010010110
3101221210200012112111200
41222232230132322112
53334200102434410
6124351352413330
711164616214645
oct1525654367226
9357720175450
10114600046230
1144668813a0a
121a2633a7246
13aa64532257
1457920d335c
152eaad993c0
hex1aaeb1ee96

114600046230 has 96 divisors (see below), whose sum is σ = 316072624608. Its totient is φ = 28708992000.

The previous prime is 114600046181. The next prime is 114600046243. The reversal of 114600046230 is 32640006411.

114600046230 is a `hidden beast` number, since 1 + 14 + 600 + 0 + 46 + 2 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114600046194 and 114600046203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758505 + ... + 896955.

It is an arithmetic number, because the mean of its divisors is an integer number (3292423173).

Almost surely, 2114600046230 is an apocalyptic number.

114600046230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114600046230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158036312304).

114600046230 is an abundant number, since it is smaller than the sum of its proper divisors (201472578378).

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

114600046230 is a wasteful number, since it uses less digits than its factorization.

114600046230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139022 (or 139019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 114600046230 in words is "one hundred fourteen billion, six hundred million, forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 541 765 1082 1530 1623 2705 3246 4869 5410 8115 9197 9738 16230 18394 24345 27591 45985 48690 55182 82773 91970 137955 138451 165546 275910 276902 413865 415353 692255 827730 830706 1246059 1384510 2076765 2353667 2492118 4153530 4707334 6230295 7061001 11768335 12460590 14122002 21183003 23536670 35305005 42366006 70610010 74901991 105915015 149803982 211830030 224705973 374509955 449411946 674117919 749019910 1123529865 1273333847 1348235838 2247059730 2546667694 3370589595 3820001541 6366669235 6741179190 7640003082 11460004623 12733338470 19100007705 22920009246 38200015410 57300023115 114600046230