Search a number
-
+
402234424344 = 23335941597589
BaseRepresentation
bin1011101101001110000…
…10100011110000011000
31102110020102000212222000
411312213002203300120
523042234003034334
6504441155401000
741026513123464
oct5664702436030
91373212025860
10402234424344
1114564a934495
1265b575b3160
132bc1353371c
141567ac414a4
15a6e2b65299
hex5da70a3c18

402234424344 has 128 divisors (see below), whose sum is σ = 1136678400000. Its totient is φ = 131756575104.

The previous prime is 402234424303. The next prime is 402234424349. The reversal of 402234424344 is 443424432204.

402234424344 is a `hidden beast` number, since 4 + 0 + 223 + 4 + 424 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402234424299 and 402234424308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402234424349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52998502 + ... + 53006090.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300000).

Almost surely, 2402234424344 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 402234424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568339200000).

402234424344 is an abundant number, since it is smaller than the sum of its proper divisors (734443975656).

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

402234424344 is a wasteful number, since it uses less digits than its factorization.

402234424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 402234424344 its reverse (443424432204), we get a palindrome (845658856548).

The spelling of 402234424344 in words is "four hundred two billion, two hundred thirty-four million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4159 4248 6372 7589 8318 12477 12744 15178 16636 22767 24954 30356 33272 37431 45534 49908 60712 68301 74862 91068 99816 112293 136602 149724 182136 204903 224586 245381 273204 299448 409806 447751 449172 490762 546408 736143 819612 895502 898344 981524 1343253 1472286 1639224 1791004 1963048 2208429 2686506 2944572 3582008 4029759 4416858 5373012 5889144 6625287 8059518 8833716 10746024 12089277 13250574 16119036 17667432 24178554 26501148 31562651 32238072 48357108 53002296 63125302 94687953 96714216 126250604 189375906 252501208 284063859 378751812 568127718 757503624 852191577 1136255436 1704383154 1862196409 2272510872 3408766308 3724392818 5586589227 6817532616 7448785636 11173178454 14897571272 16759767681 22346356908 33519535362 44692713816 50279303043 67039070724 100558606086 134078141448 201117212172 402234424344