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1405201335132 = 2237212241195229
BaseRepresentation
bin10100011100101100100…
…001101100001101011100
311222100001220012222220210
4110130230201230031130
5141010323020211012
62553312433212420
7203344125162300
oct24345441541534
94870056188823
101405201335132
114a1a4057a371
121a8407101110
13a268239967a
144c025319d00
1526844ad623c
hex1472c86c35c

1405201335132 has 72 divisors (see below), whose sum is σ = 3814449033360. Its totient is φ = 401451240960.

The previous prime is 1405201335113. The next prime is 1405201335179. The reversal of 1405201335132 is 2315331025041.

It is a self number, because there is not a number n which added to its sum of digits gives 1405201335132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7100094 + ... + 7295322.

Almost surely, 21405201335132 is an apocalyptic number.

1405201335132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1405201335132 is an abundant number, since it is smaller than the sum of its proper divisors (2409247698228).

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

1405201335132 is a wasteful number, since it uses less digits than its factorization.

1405201335132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207491 (or 207482 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1405201335132 in words is "one trillion, four hundred five billion, two hundred one million, three hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 12241 24482 36723 48964 73446 85687 146892 171374 195229 257061 342748 390458 514122 585687 599809 780916 1028244 1171374 1199618 1366603 1799427 2342748 2399236 2733206 3598854 4099809 5466412 7197708 8199618 9566221 16399236 19132442 28698663 38264884 57397326 114794652 2389798189 4779596378 7169394567 9559192756 14338789134 16728587323 28677578268 33457174646 50185761969 66914349292 100371523938 117100111261 200743047876 234200222522 351300333783 468400445044 702600667566 1405201335132