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114225234520215 = 35713531578896047
BaseRepresentation
bin11001111110001100100010…
…100001110010100010010111
3112222102211021222201121121110
4121332030202201302202113
5104432431240014121330
61042534203123150103
733026333536411530
oct3176144241624227
9488384258647543
10114225234520215
113343971704a545
1210989747b15333
134b975163a5110
14202c760915687
15d313d91dbdb0
hex67e322872897

114225234520215 has 64 divisors (see below), whose sum is σ = 229179919159296. Its totient is φ = 47291094369792.

The previous prime is 114225234520181. The next prime is 114225234520249. The reversal of 114225234520215 is 512025432522411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114225234520181) and next prime (114225234520249).

It is not a de Polignac number, because 114225234520215 - 27 = 114225234520087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 789375679 + ... + 789520368.

It is an arithmetic number, because the mean of its divisors is an integer number (3580936236864).

Almost surely, 2114225234520215 is an apocalyptic number.

114225234520215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114225234520215 is an abundant number, since it is smaller than the sum of its proper divisors (114954684639081).

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

114225234520215 is a wasteful number, since it uses less digits than its factorization.

114225234520215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578896128.

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 114225234520215 in words is "one hundred fourteen trillion, two hundred twenty-five billion, two hundred thirty-four million, five hundred twenty thousand, two hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 53 65 91 105 159 195 265 273 371 455 689 795 1113 1365 1855 2067 3445 4823 5565 10335 14469 24115 72345 1578896047 4736688141 7894480235 11052272329 20525648611 23683440705 33156816987 55261361645 61576945833 83681490491 102628243055 143679540277 165784084935 251044471473 307884729165 418407452455 431038620831 585770433437 718397701385 1087859376383 1255222357365 1757311300311 2155193104155 2928852167185 3263578129149 5439296881915 7615015634681 8786556501555 16317890645745 22845046904043 38075078173405 114225234520215