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151434035406 = 233163170910067
BaseRepresentation
bin1000110100001000101…
…1000000000011001110
3112110212200212001122000
42031002023000003032
54440114103113111
6153322352533130
713640451030333
oct2150213000316
9473780761560
10151434035406
115924a624185
1225422b511a6
13113846b6914
14748800298a
153e14948c56
hex23422c00ce

151434035406 has 64 divisors (see below), whose sum is σ = 338816390400. Its totient is φ = 50133994848.

The previous prime is 151434035399. The next prime is 151434035471. The reversal of 151434035406 is 604530434151.

151434035406 is a `hidden beast` number, since 151 + 434 + 0 + 35 + 40 + 6 = 666.

151434035406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15037585 + ... + 15047651.

It is an arithmetic number, because the mean of its divisors is an integer number (5294006100).

Almost surely, 2151434035406 is an apocalyptic number.

151434035406 is an abundant number, since it is smaller than the sum of its proper divisors (187382354994).

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

151434035406 is a wasteful number, since it uses less digits than its factorization.

151434035406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 151434035406 its reverse (604530434151), we get a palindrome (755964469557).

The spelling of 151434035406 in words is "one hundred fifty-one billion, four hundred thirty-four million, thirty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 163 326 489 978 1467 1709 2934 3418 4401 5127 8802 10067 10254 15381 20134 30201 30762 46143 60402 90603 92286 181206 271809 278567 543618 557134 835701 1640921 1671402 2507103 3281842 4922763 5014206 7521309 9845526 14768289 15042618 17204503 29536578 34409006 44304867 51613509 88609734 103227018 154840527 309681054 464521581 929043162 2804333989 5608667978 8413001967 16826003934 25239005901 50478011802 75717017703 151434035406