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3112240214040 = 2335733264713367
BaseRepresentation
bin101101010010011111111…
…110001111000000011000
3102000112020101000220202120
4231102133332033000120
5401442331443322130
610341424324501240
7440565133222566
oct55223776170030
912015211026676
103112240214040
11a9a991512851
1242320ab4a820
1319763819b539
14aa8c1824a36
1555e5334d910
hex2d49ff8f018

3112240214040 has 128 divisors (see below), whose sum is σ = 9353690127360. Its totient is φ = 828423396864.

The previous prime is 3112240213993. The next prime is 3112240214053. The reversal of 3112240214040 is 404120422113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3112240214040.

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, 232823437 + ... + 232836803.

It is an arithmetic number, because the mean of its divisors is an integer number (73075704120).

Almost surely, 23112240214040 is an apocalyptic number.

3112240214040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112240214040 is an abundant number, since it is smaller than the sum of its proper divisors (6241449913320).

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

3112240214040 is a wasteful number, since it uses less digits than its factorization.

3112240214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16761 (or 16757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3112240214040 its reverse (404120422113), we get a palindrome (3516360636153).

The spelling of 3112240214040 in words is "three trillion, one hundred twelve billion, two hundred forty million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 733 1466 2199 2647 2932 3665 4398 5294 5864 7330 7941 8796 10588 10995 13235 13367 14660 15882 17592 21176 21990 26470 26734 29320 31764 39705 40101 43980 52940 53468 63528 66835 79410 80202 87960 105880 106936 133670 158820 160404 200505 267340 317640 320808 401010 534680 802020 1604040 1940251 3880502 5820753 7761004 9701255 9798011 11641506 15522008 19402510 19596022 23283012 29103765 29394033 35382449 38805020 39192044 46566024 48990055 58207530 58788066 70764898 77610040 78384088 97980110 106147347 116415060 117576132 141529796 146970165 176912245 195960220 212294694 232830120 235152264 283059592 293940330 353824490 391920440 424589388 530736735 587880660 707648980 849178776 1061473470 1175761320 1415297960 2122946940 4245893880 25935335117 51870670234 77806005351 103741340468 129676675585 155612010702 207482680936 259353351170 311224021404 389030026755 518706702340 622448042808 778060053510 1037413404680 1556120107020 3112240214040