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402440242240 = 2656053207769
BaseRepresentation
bin1011101101100110100…
…11101100010001000000
31102110202202022112001001
411312303103230101000
523043144200222430
6504513431021344
741034562421611
oct5666323542100
91373682275031
10402440242240
11145746030523
1265bb450a854
132bc47076b6a
141569a2d9c08
15a705c6d3ca
hex5db34ec440

402440242240 has 56 divisors (see below), whose sum is σ = 958473759960. Its totient is φ = 160948727808.

The previous prime is 402440242231. The next prime is 402440242247. The reversal of 402440242240 is 42242044204.

It can be written as a sum of positive squares in 4 ways, for example, as 108826624 + 402331415616 = 10432^2 + 634296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402440242199 and 402440242208.

It is not an unprimeable number, because it can be changed into a prime (402440242247) 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, 1833076 + ... + 2040844.

Almost surely, 2402440242240 is an apocalyptic number.

402440242240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402440242240 is an abundant number, since it is smaller than the sum of its proper divisors (556033517720).

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

402440242240 is a wasteful number, since it uses less digits than its factorization.

402440242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213839 (or 213829 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 402440242240 its reverse (42242044204), we get a palindrome (444682286444).

It can be divided in two parts, 402440 and 242240, that added together give a triangular number (644680 = T1135).

The spelling of 402440242240 in words is "four hundred two billion, four hundred forty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6053 12106 24212 30265 48424 60530 96848 121060 193696 207769 242120 387392 415538 484240 831076 968480 1038845 1662152 1936960 2077690 3324304 4155380 6648608 8310760 13297216 16621520 33243040 66486080 1257625757 2515251514 5030503028 6288128785 10061006056 12576257570 20122012112 25152515140 40244024224 50305030280 80488048448 100610060560 201220121120 402440242240