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31440042444 = 223195313119861
BaseRepresentation
bin11101010001111110…
…001111100111001100
310000011002222122020110
4131101332033213030
51003342122324234
622235433120020
72162053644216
oct352176174714
9100132878213
1031440042444
11123740a2258
126115259010
132c70823815
1417437c15b6
15c4027d1e9
hex751f8f9cc

31440042444 has 96 divisors (see below), whose sum is σ = 79282748160. Its totient is φ = 9666259200.

The previous prime is 31440042299. The next prime is 31440042461. The reversal of 31440042444 is 44424004413.

31440042444 is a modest number, since divided by 42444 gives 31440 as remainder.

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, 1573074 + ... + 1592934.

It is an arithmetic number, because the mean of its divisors is an integer number (825861960).

Almost surely, 231440042444 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 31440042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39641374080).

31440042444 is an abundant number, since it is smaller than the sum of its proper divisors (47842705716).

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

31440042444 is a wasteful number, since it uses less digits than its factorization.

31440042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 31440042444 its reverse (44424004413), we get a palindrome (75864046857).

The spelling of 31440042444 in words is "thirty-one billion, four hundred forty million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 131 159 212 228 262 318 393 524 636 786 1007 1572 2014 2489 3021 4028 4978 6042 6943 7467 9956 12084 13886 14934 19861 20829 27772 29868 39722 41658 59583 79444 83316 119166 131917 238332 263834 377359 395751 527668 754718 791502 1052633 1132077 1509436 1583004 2105266 2264154 2601791 3157899 4210532 4528308 5203582 6315798 7805373 10407164 12631596 15610746 20000027 31221492 40000054 49434029 60000081 80000108 98868058 120000162 137894923 148302087 197736116 240000324 275789846 296604174 413684769 551579692 593208348 827369538 1654739076 2620003537 5240007074 7860010611 10480014148 15720021222 31440042444