Search a number
-
+
144035315262114 = 2310715122363110559
BaseRepresentation
bin100000101111111111010101…
…110011010010001010100010
3200212222122022202211102210020
4200233333111303102022202
5122334333311201341424
61230200524345414310
742224131246052103
oct4057772563221242
9625878282742706
10144035315262114
1141992041521a51
12141a301379a396
13624a619b42623
14277d4bc9603aa
15119ba50a4d079
hex82ffd5cd22a2

144035315262114 has 128 divisors (see below), whose sum is σ = 294494782095360. Its totient is φ = 46957211784000.

The previous prime is 144035315262053. The next prime is 144035315262161. The reversal of 144035315262114 is 411262513530441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13640994367 + ... + 13641004925.

It is an arithmetic number, because the mean of its divisors is an integer number (2300740485120).

Almost surely, 2144035315262114 is an apocalyptic number.

144035315262114 is an abundant number, since it is smaller than the sum of its proper divisors (150459466833246).

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

144035315262114 is a wasteful number, since it uses less digits than its factorization.

144035315262114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676.

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 144035315262114 its reverse (411262513530441), we get a palindrome (555297828792555).

The spelling of 144035315262114 in words is "one hundred forty-four trillion, thirty-five billion, three hundred fifteen million, two hundred sixty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 107 151 214 223 302 321 446 453 631 642 669 906 1262 1338 1893 3786 10559 16157 21118 23861 31677 32314 33673 47722 48471 63354 67346 67517 71583 95281 96942 101019 135034 140713 143166 190562 202038 202551 281426 285843 405102 422139 571686 844278 1129813 1594409 2259626 2354657 3188818 3389439 3603011 4709314 4783227 6662729 6778878 7063971 7206022 9566454 10195067 10809033 13325458 14127942 15056291 19988187 20390134 21247663 21618066 30112582 30585201 39976374 42495326 45168873 61170402 63742989 90337746 127485978 170601763 251948299 341203526 355553207 503896598 511805289 711106414 712912003 755844897 1006072079 1023610578 1066659621 1425824006 1485788567 1511689794 2012144158 2133319242 2138736009 2273499941 2971577134 3018216237 4277472018 4457365701 4546999882 6036432474 6820499823 8914731402 13640999646 38044193149 76088386298 107649712453 114132579447 158979376669 215299424906 224354073617 228265158894 317958753338 322949137359 448708147234 476938130007 645898274718 673062220851 953876260014 1346124441702 24005885877019 48011771754038 72017657631057 144035315262114