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31212131440 = 2457193779283
BaseRepresentation
bin11101000100011000…
…110101010001110000
32222120020010120010011
4131010120311101300
51002410301201230
622201052144304
72153315511520
oct350430652160
988506116104
1031212131440
1112267486356
126070a68094
132c35546339
141721415680
15c2a25de2a
hex744635470

31212131440 has 160 divisors (see below), whose sum is σ = 89660689920. Its totient is φ = 9863949312.

The previous prime is 31212131437. The next prime is 31212131471. The reversal of 31212131440 is 4413121213.

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, 354039 + ... + 433321.

It is an arithmetic number, because the mean of its divisors is an integer number (560379312).

Almost surely, 231212131440 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 31212131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44830344960).

31212131440 is an abundant number, since it is smaller than the sum of its proper divisors (58448558480).

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

31212131440 is a wasteful number, since it uses less digits than its factorization.

31212131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79359 (or 79353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31212131440 its reverse (4413121213), we get a palindrome (35625252653).

The spelling of 31212131440 in words is "thirty-one billion, two hundred twelve million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 56 70 74 76 80 95 112 133 140 148 152 185 190 259 266 280 296 304 370 380 518 532 560 592 665 703 740 760 1036 1064 1295 1330 1406 1480 1520 2072 2128 2590 2660 2812 2960 3515 4144 4921 5180 5320 5624 7030 9842 10360 10640 11248 14060 19684 20720 24605 28120 39368 49210 56240 78736 79283 98420 158566 196840 317132 393680 396415 554981 634264 792830 1109962 1268528 1506377 1585660 2219924 2774905 2933471 3012754 3171320 4439848 5549810 5866942 6025508 6342640 7531885 8879696 10544639 11099620 11733884 12051016 14667355 15063770 20534297 21089278 22199240 23467768 24102032 29334710 30127540 41068594 42178556 44398480 46935536 52723195 55735949 58669420 60255080 82137188 84357112 102671485 105446390 111471898 117338840 120510160 164274376 168714224 205342970 210892780 222943796 234677680 278679745 328548752 390151643 410685940 421785560 445887592 557359490 780303286 821371880 843571120 891775184 1114718980 1560606572 1642743760 1950758215 2229437960 3121213144 3901516430 4458875920 6242426288 7803032860 15606065720 31212131440