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405540230120 = 23537274013669
BaseRepresentation
bin1011110011011000001…
…01001101001111101000
31102202202210111012221222
411321230011031033220
523121021244330440
6510145210321212
741204444036264
oct5715405151750
91382683435858
10405540230120
11146a96984283
126671a729208
132c31c39950c
14158b1ccd0a4
15a837eb32b5
hex5e6c14d3e8

405540230120 has 32 divisors (see below), whose sum is σ = 937126751400. Its totient is φ = 157831872768.

The previous prime is 405540230119. The next prime is 405540230129. The reversal of 405540230120 is 21032045504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 400519373956 + 5020856164 = 632866^2 + 70858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 405540230120.

It is not an unprimeable number, because it can be changed into a prime (405540230129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137005355 + ... + 137008314.

Almost surely, 2405540230120 is an apocalyptic number.

405540230120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405540230120 is an abundant number, since it is smaller than the sum of its proper divisors (531586521280).

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

405540230120 is a wasteful number, since it uses less digits than its factorization.

405540230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274013717 (or 274013713 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 405540230120 its reverse (21032045504), we get a palindrome (426572275624).

The spelling of 405540230120 in words is "four hundred five billion, five hundred forty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 274013669 548027338 1096054676 1370068345 2192109352 2740136690 5480273380 10138505753 10960546760 20277011506 40554023012 50692528765 81108046024 101385057530 202770115060 405540230120