Search a number
-
+
332313014440002 = 232361401206947581
BaseRepresentation
bin100101110001111001010011…
…1001011100001000001000010
31121120121210222100101021110210
41023203302213023201001002
5322024104023144040002
63134434254042134550
7126665552200415541
oct11343624713410102
91546553870337423
10332313014440002
11969811812a5aa2
12313305a41b1456
1311356ca12934ab
145c0c07001c158
15286435662996c
hex12e3ca72e1042

332313014440002 has 128 divisors (see below), whose sum is σ = 707006275130880. Its totient is φ = 103905584640000.

The previous prime is 332313014439997. The next prime is 332313014440013. The reversal of 332313014440002 is 200044410313233.

It is a happy number.

It is a super-2 number, since 2×3323130144400022 (a number of 30 digits) contains 22 as substring.

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, 6984129852 + ... + 6984177432.

It is an arithmetic number, because the mean of its divisors is an integer number (5523486524460).

Almost surely, 2332313014440002 is an apocalyptic number.

332313014440002 is an abundant number, since it is smaller than the sum of its proper divisors (374693260690878).

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

332313014440002 is a wasteful number, since it uses less digits than its factorization.

332313014440002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50140.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 332313014440002 its reverse (200044410313233), we get a palindrome (532357424753235).

The spelling of 332313014440002 in words is "three hundred thirty-two trillion, three hundred thirteen billion, fourteen million, four hundred forty thousand, two".

Divisors: 1 2 3 6 23 46 61 69 122 138 183 366 401 802 1203 1403 2069 2406 2806 4138 4209 6207 8418 9223 12414 18446 24461 27669 47581 47587 48922 55338 73383 95162 95174 126209 142743 142761 146766 252418 285486 285522 378627 562603 757254 829669 1094363 1125206 1659338 1687809 2188726 2489007 2902441 2902807 3283089 3375618 4978014 5804882 5805614 6566178 8707323 8708421 17414646 17416842 19079981 19082387 38159962 38164774 50609809 57239943 57247161 66756143 98445089 101219618 114479886 114494322 133512286 151829427 196890178 200268429 295335267 303658854 400536858 438839563 590670534 877679126 1163878841 1164025607 1316518689 2264237047 2327757682 2328051214 2633037378 3491636523 3492076821 4528474094 6005150429 6792711141 6983273046 6984153642 12010300858 13585422282 18015451287 26769213343 36030902574 39476480689 53538426686 78952961378 80307640029 118429442067 138118459867 160615280058 236858884134 276236919734 414355379601 828710759202 907959055847 1815918111694 2408065322029 2723877167541 4816130644058 5447754335082 7224195966087 14448391932174 55385502406667 110771004813334 166156507220001 332313014440002