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114241014402102 = 232722720749192499
BaseRepresentation
bin11001111110011011001111…
…000101010000110000110110
3112222111100000201100200010100
4121332123033011100300312
5104433211044141331402
61042545333020534530
733030432556244220
oct3176331705206066
9488440021320110
10114241014402102
1133445384411345
12109908106b1446
134b98b5c67bc33
14202d41a549410
15d31a0e70271c
hex67e6cf150c36

114241014402102 has 96 divisors (see below), whose sum is σ = 284143860000000. Its totient is φ = 32494765028544.

The previous prime is 114241014402091. The next prime is 114241014402113. The reversal of 114241014402102 is 201204410142411.

114241014402102 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 1 + 0 + 1 + 440 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114241014402091) and next prime (114241014402113).

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, 593366649 + ... + 593559147.

It is an arithmetic number, because the mean of its divisors is an integer number (2959831875000).

Almost surely, 2114241014402102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114241014402102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142071930000000).

114241014402102 is an abundant number, since it is smaller than the sum of its proper divisors (169902845597898).

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

114241014402102 is a wasteful number, since it uses less digits than its factorization.

114241014402102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213490 (or 213487 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 114241014402102 its reverse (201204410142411), we get a palindrome (315445424544513).

The spelling of 114241014402102 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, four hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 9534 14301 20749 28602 41498 62247 124494 145243 186741 192499 290486 373482 384998 435729 577497 871458 1154994 1307187 1347493 1732491 2614374 2694986 3464982 4042479 4710023 8084958 9420046 12127437 14130069 24254874 28260138 32970161 42390207 43697273 65940322 84780414 87394546 98910483 131091819 197820966 262183638 296731449 305880911 393275457 593462898 611761822 786550914 917642733 1835285466 2752928199 3994161751 5505856398 7988323502 11982485253 23964970506 27959132257 35947455759 55918264514 71894911518 83877396771 167754793542 251632190313 503264380626 906674717477 1813349434954 2720024152431 5440048304862 6346723022339 8160072457293 12693446044678 16320144914586 19040169067017 38080338134034 57120507201051 114241014402102