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132405551005314 = 231719597391566953
BaseRepresentation
bin11110000110110000010001…
…110101010111111010000010
3122100210211212111121210111010
4132012300101311113322002
5114323313032024132224
61145334134224301350
736613661661654516
oct3606602165277202
9570724774553433
10132405551005314
1139208973811904
1212a250bb171856
1358b5a364b9402
14249a66a144146
15104928b466e29
hex786c11d57e82

132405551005314 has 128 divisors (see below), whose sum is σ = 300554312832000. Its totient is φ = 38633364523008.

The previous prime is 132405551005291. The next prime is 132405551005397. The reversal of 132405551005314 is 413500155504231.

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, 83715262 + ... + 85282214.

It is an arithmetic number, because the mean of its divisors is an integer number (2348080569000).

Almost surely, 2132405551005314 is an apocalyptic number.

132405551005314 is an abundant number, since it is smaller than the sum of its proper divisors (168148761826686).

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

132405551005314 is a wasteful number, since it uses less digits than its factorization.

132405551005314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567792.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 132405551005314 in words is "one hundred thirty-two trillion, four hundred five billion, five hundred fifty-one million, five thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 59 102 114 118 177 323 354 646 739 969 1003 1121 1478 1938 2006 2217 2242 3009 3363 4434 6018 6726 12563 14041 19057 25126 28082 37689 38114 42123 43601 57171 75378 84246 87202 114342 130803 238697 261606 477394 716091 741217 828419 1432182 1482434 1566953 1656838 2223651 2485257 3133906 4447302 4700859 4970514 9401718 14083123 26638201 28166246 29772107 42249369 53276402 59544214 79914603 84498738 89316321 92450227 159829206 178632642 184900454 277350681 506125819 554701362 1012251638 1157978267 1518377457 1571653859 1756554313 2315956534 3036754914 3143307718 3473934801 3513108626 4714961577 5269662939 6947869602 9429923154 10539325878 19685630539 22001587073 29861423321 39371261078 44003174146 59056891617 59722846642 66004761219 68320717753 89584269963 118113783234 132009522438 136641435506 179168539926 204962153259 374026980241 409924306518 748053960482 1122080940723 1161452201801 1298093637307 2244161881446 2322904403602 2596187274614 3484356605403 3894280911921 6968713210806 7788561823842 22067591834219 44135183668438 66202775502657 132405551005314