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114345043650 = 232521916432069
BaseRepresentation
bin110101001111101111…
…1101110011011000010
3101221010220101001201200
41222133133232123002
53333134312344100
6124310203042030
711155401556125
oct1523737563302
9357126331650
10114345043650
1144547883782
121a1b1b10316
13aa2375a856
14576a2b43bc
152e937c7e00
hex1a9f7ee6c2

114345043650 has 144 divisors (see below), whose sum is σ = 309445194240. Its totient is φ = 30270556800.

The previous prime is 114345043613. The next prime is 114345043669. The reversal of 114345043650 is 56340543411.

114345043650 is a `hidden beast` number, since 1 + 143 + 4 + 504 + 3 + 6 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55264816 + ... + 55266884.

It is an arithmetic number, because the mean of its divisors is an integer number (2148924960).

Almost surely, 2114345043650 is an apocalyptic number.

114345043650 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 114345043650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154722597120).

114345043650 is an abundant number, since it is smaller than the sum of its proper divisors (195100150590).

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

114345043650 is a wasteful number, since it uses less digits than its factorization.

114345043650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 114345043650 in words is "one hundred fourteen billion, three hundred forty-five million, forty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 191 225 382 450 573 643 955 1146 1286 1719 1910 1929 2069 2865 3215 3438 3858 4138 4775 5730 5787 6207 6430 8595 9550 9645 10345 11574 12414 14325 16075 17190 18621 19290 20690 28650 28935 31035 32150 37242 42975 48225 51725 57870 62070 85950 93105 96450 103450 122813 144675 155175 186210 245626 289350 310350 368439 395179 465525 614065 736878 790358 931050 1105317 1185537 1228130 1330367 1842195 1975895 2210634 2371074 2660734 3070325 3556611 3684390 3951790 3991101 5526585 5927685 6140650 6651835 7113222 7982202 9210975 9879475 11053170 11855370 11973303 13303670 17783055 18421950 19758950 19955505 23946606 27632925 29638425 33259175 35566110 39911010 55265850 59276850 59866515 66518350 88915275 99777525 119733030 177830550 199555050 254100097 299332575 508200194 598665150 762300291 1270500485 1524600582 2286900873 2541000970 3811501455 4573801746 6352502425 7623002910 11434504365 12705004850 19057507275 22869008730 38115014550 57172521825 114345043650