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114444430144015 = 5376771973917377
BaseRepresentation
bin11010000001011000101011…
…100110101111001000001111
3120000012210002002222000122111
4122001120223212233020033
5110000024143104102030
61043223013450124451
733051223444441366
oct3201305346571017
9500183062860574
10114444430144015
113351367928aa44
1210a04120120727
134bb20a954616a
1420391d61347dd
15d36e6798d62a
hex68162b9af20f

114444430144015 has 64 divisors (see below), whose sum is σ = 143551511193600. Its totient is φ = 87505840705536.

The previous prime is 114444430143997. The next prime is 114444430144061. The reversal of 114444430144015 is 510441034444411.

It is a cyclic number.

It is not a de Polignac number, because 114444430144015 - 27 = 114444430143887 is a prime.

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, 6585963007 + ... + 6585980383.

It is an arithmetic number, because the mean of its divisors is an integer number (2242992362400).

Almost surely, 2114444430144015 is an apocalyptic number.

114444430144015 is a deficient number, since it is larger than the sum of its proper divisors (29107081049585).

114444430144015 is a wasteful number, since it uses less digits than its factorization.

114444430144015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944.

The product of its (nonzero) digits is 245760, while the sum is 40.

Adding to 114444430144015 its reverse (510441034444411), we get a palindrome (624885464588426).

The spelling of 114444430144015 in words is "one hundred fourteen trillion, four hundred forty-four billion, four hundred thirty million, one hundred forty-four thousand, fifteen".

Divisors: 1 5 37 67 185 335 719 739 2479 3595 3695 12395 17377 26603 27343 48173 49513 86885 133015 136715 240865 247565 531341 642949 1164259 1782401 1831981 2656705 3214745 5821295 8912005 9159905 12494063 12841603 19659617 35599847 43077583 62470315 64208015 98298085 177999235 215387915 462280331 475139311 837102221 860387401 1317194339 2311401655 2375696555 4185511105 4301937005 6585971695 9233112557 30972782177 31834333837 46165562785 154863910885 159171669185 341625164609 618618541319 1708125823045 3093092706595 22888886028803 114444430144015