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402440313340 = 225135929278963
BaseRepresentation
bin1011101101100110100…
…11111101100111111100
31102110202202110010120101
411312303103331213330
523043144210011330
6504513432330444
741034563136112
oct5666323754774
91373682403511
10402440313340
1114574607998a
1265bb4543a24
132bc470a0330
141569a317ab2
15a705c844ca
hex5db34fd9fc

402440313340 has 96 divisors (see below), whose sum is σ = 925979765760. Its totient is φ = 146008617216.

The previous prime is 402440313323. The next prime is 402440313419. The reversal of 402440313340 is 43313044204.

It is a junction number, because it is equal to n+sod(n) for n = 402440313299 and 402440313308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44895699 + ... + 44904661.

It is an arithmetic number, because the mean of its divisors is an integer number (9645622560).

Almost surely, 2402440313340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402440313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462989882880).

402440313340 is an abundant number, since it is smaller than the sum of its proper divisors (523539452420).

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

402440313340 is a wasteful number, since it uses less digits than its factorization.

402440313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 402440313340 its reverse (43313044204), we get a palindrome (445753357544).

The spelling of 402440313340 in words is "four hundred two billion, four hundred forty million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 2927 3068 3835 5854 7670 8963 11708 14635 15340 17926 29270 35852 38051 44815 58540 76102 89630 116519 152204 172693 179260 190255 233038 345386 380510 466076 528817 582595 690772 761020 863465 1057634 1165190 1726930 2115268 2245009 2330380 2644085 3453860 4490018 5288170 6874621 8980036 10576340 11225045 13749242 22450090 26234701 27498484 34373105 44900180 52469402 68746210 104938804 131173505 137492420 262347010 341051113 524694020 682102226 1364204452 1547847359 1705255565 3095694718 3410511130 6191389436 6821022260 7739236795 15478473590 20122015667 30956947180 40244031334 80488062668 100610078335 201220156670 402440313340