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3114237219280 = 2451122911093749
BaseRepresentation
bin101101010100010111000…
…000001101000111010000
3102000201101112202021221121
4231110113000031013100
5402010424212004110
610342354423332024
7440665462412365
oct55242700150720
912021345667847
103114237219280
11aa08167a4400
124236878b1014
13197895b37745
14aaa30b4046c
155601d81dcda
hex2d51700d1d0

3114237219280 has 120 divisors (see below), whose sum is σ = 8233115625000. Its totient is φ = 1093399802880.

The previous prime is 3114237219263. The next prime is 3114237219281. The reversal of 3114237219280 is 829127324113.

It can be written as a sum of positive squares in 4 ways, for example, as 26232337296 + 3088004881984 = 161964^2 + 1757272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114237219281) 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, 5266155 + ... + 5827594.

It is an arithmetic number, because the mean of its divisors is an integer number (68609296875).

Almost surely, 23114237219280 is an apocalyptic number.

It is an amenable number.

3114237219280 is an abundant number, since it is smaller than the sum of its proper divisors (5118878405720).

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

3114237219280 is a wasteful number, since it uses less digits than its factorization.

3114237219280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093813 (or 11093796 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 3114237219280 in words is "three trillion, one hundred fourteen billion, two hundred thirty-seven million, two hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 440 464 484 580 605 638 880 968 1160 1210 1276 1595 1936 2320 2420 2552 3190 3509 4840 5104 6380 7018 9680 12760 14036 17545 25520 28072 35090 56144 70180 140360 280720 11093749 22187498 44374996 55468745 88749992 110937490 122031239 177499984 221874980 244062478 321718721 443749960 488124956 610156195 643437442 887499920 976249912 1220312390 1286874884 1342343629 1608593605 1952499824 2440624780 2573749768 2684687258 3217187210 3538905931 4881249560 5147499536 5369374516 6434374420 6711718145 7077811862 9762499120 10738749032 12868748840 13423436290 14155623724 17694529655 21477498064 25737497680 26846872580 28311247448 35389059310 38927965241 53693745160 56622494896 70778118620 77855930482 107387490320 141556237240 155711860964 194639826205 283112474480 311423721928 389279652410 622847443856 778559304820 1557118609640 3114237219280