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231455449071940 = 2253713731571145007
BaseRepresentation
bin110100101000000111101011…
…110100101100000101000100
31010100111220222012112022121111
4310220013223310230011010
5220314131224430300230
62140133055421254404
766516050540006662
oct6450075364540504
91110456865468544
10231455449071940
1167826782a74085
1221b61749704404
139c1c202c66a22
1441227098a7c32
151bb5a49e2c92a
hexd281ebd2c144

231455449071940 has 96 divisors (see below), whose sum is σ = 499878115720704. Its totient is φ = 89956432581120.

The previous prime is 231455449071841. The next prime is 231455449072021. The reversal of 231455449071940 is 49170944554132.

It is a super-3 number, since 3×2314554490719403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1596094917 + ... + 1596239923.

It is an arithmetic number, because the mean of its divisors is an integer number (5207063705424).

Almost surely, 2231455449071940 is an apocalyptic number.

231455449071940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231455449071940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249939057860352).

231455449071940 is an abundant number, since it is smaller than the sum of its proper divisors (268422666648764).

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

231455449071940 is a wasteful number, since it uses less digits than its factorization.

231455449071940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147997 (or 147995 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 231455449071940 in words is "two hundred thirty-one trillion, four hundred fifty-five billion, four hundred forty-nine million, seventy-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1373 1571 2746 3142 5492 6284 6865 7855 13730 15710 27460 31420 50801 58127 101602 116254 145007 203204 232508 254005 290014 290635 508010 580028 581270 725035 1016020 1162540 1450070 2156983 2900140 4313966 5365259 8627932 10730518 10784915 21461036 21569830 26826295 43139660 53652590 79808371 107305180 159616742 199094611 227805997 319233484 398189222 399041855 455611994 796378444 798083710 911223988 995473055 1139029985 1596167420 1990946110 2278059970 3981892220 4556119940 7366500607 8428821889 14733001214 16857643778 29466002428 33715287556 36832503035 42144109445 73665006070 84288218890 147330012140 168576437780 312777633881 625555267762 1251110535524 1563888169405 3127776338810 6255552677620 11572772453597 23145544907194 46291089814388 57863862267985 115727724535970 231455449071940