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40202420420016 = 243217211006916111
BaseRepresentation
bin10010010010000010110101…
…11111001111110110110000
312021100022110210122202212200
421021001122333033312300
520232134024111420031
6221300423104223200
711316346312162611
oct1111013277176660
9167308423582780
1040202420420016
111189a829285698
1246135b930ab00
1319580c21a1c1a
149cdb43c13c08
1549ab558ec8e6
hex24905afcfdb0

40202420420016 has 120 divisors (see below), whose sum is σ = 112594484533440. Its totient is φ = 13390858828800.

The previous prime is 40202420419939. The next prime is 40202420420027. The reversal of 40202420420016 is 61002402420204.

40202420420016 is a `hidden beast` number, since 4 + 0 + 20 + 2 + 420 + 4 + 200 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495331801 + ... + 2495347911.

It is an arithmetic number, because the mean of its divisors is an integer number (938287371112).

Almost surely, 240202420420016 is an apocalyptic number.

It is an amenable number.

40202420420016 is an abundant number, since it is smaller than the sum of its proper divisors (72392064113424).

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

40202420420016 is a wasteful number, since it uses less digits than its factorization.

40202420420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27915 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40202420420016 in words is "forty trillion, two hundred two billion, four hundred twenty million, four hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1721 3442 5163 6884 10069 10326 13768 15489 16111 20138 20652 27536 30207 30978 32222 40276 41304 48333 60414 61956 64444 80552 82608 90621 96666 120828 123912 128888 144999 161104 181242 193332 241656 247824 257776 289998 362484 386664 483312 579996 724968 773328 1159992 1449936 2319984 17328749 27727031 34657498 51986247 55454062 69314996 83181093 103972494 110908124 138629992 155958741 162221659 166362186 207944988 221816248 249543279 277259984 311917482 324443318 332724372 415889976 443632496 486664977 499086558 623834964 648886636 665448744 831779952 973329954 998173116 1247669928 1297773272 1330897488 1459994931 1946659908 1996346232 2495339856 2595546544 2919989862 3893319816 3992692464 5839979724 7786639632 11679959448 23359918896 279183475139 558366950278 837550425417 1116733900556 1675100850834 2233467801112 2512651276251 3350201701668 4466935602224 5025302552502 6700403403336 10050605105004 13400806806672 20101210210008 40202420420016