Search a number
-
+
42402331444 = 22112322417559
BaseRepresentation
bin100111011111011000…
…000011101100110100
311001110002110121201011
4213133120003230310
51143314444101234
631251313042004
73030524604364
oct473730035464
9131402417634
1042402331444
1116a8a013230
128274556304
133cc99a6465
1420a36769a4
15118286db64
hex9df603b34

42402331444 has 72 divisors (see below), whose sum is σ = 84984863040. Its totient is φ = 18356870400.

The previous prime is 42402331427. The next prime is 42402331501. The reversal of 42402331444 is 44413320424.

It is a super-2 number, since 2×424023314442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5605737 + ... + 5613295.

It is an arithmetic number, because the mean of its divisors is an integer number (1180345320).

Almost surely, 242402331444 is an apocalyptic number.

42402331444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42402331444 is an abundant number, since it is smaller than the sum of its proper divisors (42582531596).

42402331444 is a wasteful number, since it uses less digits than its factorization.

42402331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 42402331444 its reverse (44413320424), we get a palindrome (86815651868).

The spelling of 42402331444 in words is "forty-two billion, four hundred two million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 241 253 482 506 529 964 1012 1058 2116 2651 5302 5543 5819 7559 10604 11086 11638 15118 22172 23276 30236 60973 83149 121946 127489 166298 173857 243892 254978 332596 347714 509956 695428 1402379 1821719 1912427 2804758 3643438 3824854 3998711 5609516 7286876 7649708 7997422 15994844 20038909 40077818 41899537 43985821 80155636 83799074 87971642 167598148 175943284 460894907 921789814 963689351 1843579628 1927378702 3854757404 10600582861 21201165722 42402331444