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31021414424 = 23711134194483
BaseRepresentation
bin11100111001000001…
…010011100000011000
32222001221021010112222
4130321001103200120
51002012440230144
622130120323212
72145511446320
oct347101234030
988057233488
1031021414424
1112179863890
126019013508
132c04b8c430
141703d6c280
15c1863a2ee
hex739053818

31021414424 has 128 divisors (see below), whose sum is σ = 80001492480. Its totient is φ = 10884326400.

The previous prime is 31021414393. The next prime is 31021414453. The reversal of 31021414424 is 42441412013.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 31021414393 and 31021414402.

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, 281087 + ... + 375569.

It is an arithmetic number, because the mean of its divisors is an integer number (625011660).

Almost surely, 231021414424 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 31021414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000746240).

31021414424 is an abundant number, since it is smaller than the sum of its proper divisors (48980078056).

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

31021414424 is a wasteful number, since it uses less digits than its factorization.

31021414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94561 (or 94557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 31021414424 its reverse (42441412013), we get a palindrome (73462826437).

The spelling of 31021414424 in words is "thirty-one billion, twenty-one million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 41 44 52 56 77 82 88 91 104 143 154 164 182 286 287 308 328 364 451 533 572 574 616 728 902 1001 1066 1144 1148 1804 2002 2132 2296 3157 3608 3731 4004 4264 5863 6314 7462 8008 11726 12628 14924 23452 25256 29848 41041 46904 82082 94483 164164 188966 328328 377932 661381 755864 1039313 1228279 1322762 2078626 2456558 2645524 3873803 4157252 4913116 5291048 7275191 7747606 8314504 8597953 9826232 13511069 14550382 15495212 17195906 27022138 27116621 29100764 30990424 34391812 42611833 50359439 54044276 54233242 58201528 68783624 85223666 94577483 100718878 108088552 108466484 170447332 189154966 201437756 216932968 298282831 340894664 352516073 378309932 402875512 553953829 596565662 705032146 756619864 1107907658 1193131324 1410064292 2215815316 2386262648 2820128584 3877676803 4431630632 7755353606 15510707212 31021414424