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132034014141345 = 32531378330819941
BaseRepresentation
bin11110000001010110010000…
…100000101101101110100001
3122022111022212110110112211200
4132001112100200231232201
5114301221130110010340
61144451331100031413
736545066645510421
oct3601262040555641
9568438773415750
10132034014141345
1139085346954928
12129850b0232569
1358899a5a148c4
1424866a224c481
15103e7937ba330
hex78159082dba1

132034014141345 has 96 divisors (see below), whose sum is σ = 245549628140544. Its totient is φ = 65505933273600.

The previous prime is 132034014141319. The next prime is 132034014141389. The reversal of 132034014141345 is 543141410430231.

132034014141345 is a `hidden beast` number, since 1 + 3 + 20 + 3 + 40 + 141 + 413 + 45 = 666.

It is not a de Polignac number, because 132034014141345 - 210 = 132034014140321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11125926 + ... + 19694015.

It is an arithmetic number, because the mean of its divisors is an integer number (2557808626464).

Almost surely, 2132034014141345 is an apocalyptic number.

132034014141345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132034014141345 is a deficient number, since it is larger than the sum of its proper divisors (113515613999199).

132034014141345 is a wasteful number, since it uses less digits than its factorization.

132034014141345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30820103 (or 30820100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 132034014141345 its reverse (543141410430231), we get a palindrome (675175424571576).

The spelling of 132034014141345 in words is "one hundred thirty-two trillion, thirty-four billion, fourteen million, one hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 31 37 45 83 93 111 155 185 249 279 333 415 465 555 747 1147 1245 1395 1665 2573 3071 3441 3735 5735 7719 9213 10323 12865 15355 17205 23157 27639 38595 46065 51615 95201 115785 138195 285603 476005 856809 1428015 4284045 30819941 92459823 154099705 277379469 462299115 955418171 1140337817 1386897345 2558055103 2866254513 3421013451 4777090855 5701689085 7674165309 8598763539 10263040353 12790275515 14331272565 17105067255 23022495927 35350472327 38370826545 42993817695 51315201765 79299708193 94648038811 106051416981 115112479635 176752361635 237899124579 283944116433 318154250943 396498540965 473240194055 530257084905 713697373737 851832349299 1189495622895 1419720582165 1590771254715 2934089203141 3568486868685 4259161746495 8802267609423 14670446015705 26406802828269 44011338047115 132034014141345