Search a number
-
+
402242041300 = 2252111583231001
BaseRepresentation
bin1011101101001110111…
…11100111010111010100
31102110020221100212110111
411312213133213113110
523042242430310200
6504442030532404
741026634636401
oct5664737472724
91373227325414
10402242041300
111456541671a0
1265b5a067104
132bc14c9c6b8
141567bc652a8
15a6e366c0ba
hex5da77e75d4

402242041300 has 72 divisors (see below), whose sum is σ = 952822265472. Its totient is φ = 146176800000.

The previous prime is 402242041291. The next prime is 402242041309. The reversal of 402242041300 is 3140242204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402242041291) and next prime (402242041309).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402242041309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1625800 + ... + 1856800.

It is an arithmetic number, because the mean of its divisors is an integer number (13233642576).

Almost surely, 2402242041300 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 402242041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476411132736).

402242041300 is an abundant number, since it is smaller than the sum of its proper divisors (550580224172).

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

402242041300 is a wasteful number, since it uses less digits than its factorization.

402242041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232609 (or 232602 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 402242041300 its reverse (3140242204), we get a palindrome (405382283504).

The spelling of 402242041300 in words is "four hundred two billion, two hundred forty-two million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1583 3166 6332 7915 15830 17413 31660 34826 39575 69652 79150 87065 158300 174130 231001 348260 435325 462002 870650 924004 1155005 1741300 2310010 2541011 4620020 5082022 5775025 10164044 11550050 12705055 23100100 25410110 50820220 63525275 127050550 254101100 365674583 731349166 1462698332 1828372915 3656745830 4022420413 7313491660 8044840826 9141864575 16089681652 18283729150 20112102065 36567458300 40224204130 80448408260 100560510325 201121020650 402242041300