Search a number
-
+
4042321404 = 22311176129531
BaseRepresentation
bin1111000011110000…
…1110110111111100
3101102201100012111120
43300330032313330
531234313241104
61505040550540
7202113110412
oct36074166774
911381305446
104042321404
11179486a9a0
12949922450
134c561ba74
142a4c0d2b2
15189d34cd9
hexf0f0edfc

4042321404 has 96 divisors (see below), whose sum is σ = 11073791232. Its totient is φ = 1133952000.

The previous prime is 4042321399. The next prime is 4042321441. The reversal of 4042321404 is 4041232404.

It is a happy number.

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, 122119 + ... + 151649.

It is an arithmetic number, because the mean of its divisors is an integer number (115351992).

Almost surely, 24042321404 is an apocalyptic number.

4042321404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042321404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536895616).

4042321404 is an abundant number, since it is smaller than the sum of its proper divisors (7031469828).

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

4042321404 is a wasteful number, since it uses less digits than its factorization.

4042321404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29627 (or 29625 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4042321404 is about 63579.2529367875. The cubic root of 4042321404 is about 1592.9798428990.

Adding to 4042321404 its reverse (4041232404), we get a palindrome (8083553808).

The spelling of 4042321404 in words is "four billion, forty-two million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 61 66 68 102 122 132 183 187 204 244 366 374 561 671 732 748 1037 1122 1342 2013 2074 2244 2684 3111 4026 4148 6222 8052 11407 12444 22814 29531 34221 45628 59062 68442 88593 118124 136884 177186 324841 354372 502027 649682 974523 1004054 1299364 1506081 1801391 1949046 2008108 3012162 3602782 3898092 5404173 5522297 6024324 7205564 10808346 11044594 16566891 19815301 21616692 22089188 30623647 33133782 39630602 59445903 61247294 66267564 79261204 91870941 118891806 122494588 183741882 237783612 336860117 367483764 673720234 1010580351 1347440468 2021160702 4042321404