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402144120042 = 23728581159403
BaseRepresentation
bin1011101101000011010…
…10000100110011101010
31102110000010002221202020
411312201222010303222
523042042343320132
6504424212045310
741024335422600
oct5664152046352
91373003087666
10402144120042
11145603965535
1265b31303836
132bbca906122
141566cc55870
15a6d9c7852c
hex5da1a84cea

402144120042 has 48 divisors (see below), whose sum is σ = 935715507552. Its totient is φ = 114884209440.

The previous prime is 402144120029. The next prime is 402144120047. The reversal of 402144120042 is 240021441204.

It is a junction number, because it is equal to n+sod(n) for n = 402144119994 and 402144120021.

It is not an unprimeable number, because it can be changed into a prime (402144120047) by changing a digit.

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, 2443113 + ... + 2602515.

It is an arithmetic number, because the mean of its divisors is an integer number (19494073074).

Almost surely, 2402144120042 is an apocalyptic number.

402144120042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

402144120042 is an abundant number, since it is smaller than the sum of its proper divisors (533571387510).

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

402144120042 is a wasteful number, since it uses less digits than its factorization.

402144120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168003 (or 167996 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 402144120042 its reverse (240021441204), we get a palindrome (642165561246).

The spelling of 402144120042 in words is "four hundred two billion, one hundred forty-four million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 8581 17162 25743 51486 60067 120134 159403 180201 318806 360402 420469 478209 840938 956418 1115821 1261407 2231642 2522814 3347463 6694926 7810747 15621494 23432241 46864482 1367837143 2735674286 4103511429 8207022858 9574860001 19149720002 28724580003 57449160006 67024020007 134048040014 201072060021 402144120042