Search a number
-
+
31022243424 = 25325914912253
BaseRepresentation
bin11100111001000100…
…011101111001100000
32222001222211020201200
4130321010131321200
51002013143242144
622130150201200
72145521501244
oct347104357140
988058736650
1031022243424
111217a27a707
126019353200
132c050bc873
141704106424
15c18750c69
hex73911de60

31022243424 has 144 divisors (see below), whose sum is σ = 90324234000. Its totient is φ = 10096432128.

The previous prime is 31022243423. The next prime is 31022243429. The reversal of 31022243424 is 42434222013.

31022243424 is a `hidden beast` number, since 3 + 1 + 0 + 222 + 434 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×310222434242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31022243423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2525682 + ... + 2537934.

It is an arithmetic number, because the mean of its divisors is an integer number (627251625).

Almost surely, 231022243424 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 31022243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45162117000).

31022243424 is an abundant number, since it is smaller than the sum of its proper divisors (59301990576).

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

31022243424 is a wasteful number, since it uses less digits than its factorization.

31022243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 31022243424 its reverse (42434222013), we get a palindrome (73456465437).

The spelling of 31022243424 in words is "thirty-one billion, twenty-two million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 149 177 236 288 298 354 447 472 531 596 708 894 944 1062 1192 1341 1416 1788 1888 2124 2384 2682 2832 3576 4248 4768 5364 5664 7152 8496 8791 10728 12253 14304 16992 17582 21456 24506 26373 35164 36759 42912 49012 52746 70328 73518 79119 98024 105492 110277 140656 147036 158238 196048 210984 220554 281312 294072 316476 392096 421968 441108 588144 632952 722927 843936 882216 1176288 1265904 1445854 1764432 1825697 2168781 2531808 2891708 3528864 3651394 4337562 5477091 5783416 6506343 7302788 8675124 10954182 11566832 13012686 14605576 16431273 17350248 21908364 23133664 26025372 29211152 32862546 34700496 43816728 52050744 58422304 65725092 69400992 87633456 104101488 107716123 131450184 175266912 208202976 215432246 262900368 323148369 430864492 525800736 646296738 861728984 969445107 1292593476 1723457968 1938890214 2585186952 3446915936 3877780428 5170373904 7755560856 10340747808 15511121712 31022243424