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220104426415040 = 2655931337246241
BaseRepresentation
bin110010000010111100001110…
…001001100110001111000000
31001212022202222220211002101122
4302002330032021212033000
5212322142331130240130
62100042324432051412
764235006605251146
oct6202741611461700
91055282886732348
10220104426415040
116414a843667632
1220829867093b68
1395a79b213363b
143c4d17ab35596
151a6a64ba652e5
hexc82f0e2663c0

220104426415040 has 112 divisors (see below), whose sum is σ = 534710029851360. Its totient is φ = 86273018757120.

The previous prime is 220104426415007. The next prime is 220104426415043. The reversal of 220104426415040 is 40514624401022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220104426415043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12713681 + ... + 24532560.

Almost surely, 2220104426415040 is an apocalyptic number.

220104426415040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220104426415040 is an abundant number, since it is smaller than the sum of its proper divisors (314605603436320).

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

220104426415040 is a wasteful number, since it uses less digits than its factorization.

220104426415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37246630 (or 37246620 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 220104426415040 in words is "two hundred twenty trillion, one hundred four billion, four hundred twenty-six million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 313 320 472 590 626 944 1180 1252 1565 1888 2360 2504 3130 3776 4720 5008 6260 9440 10016 12520 18467 18880 20032 25040 36934 50080 73868 92335 100160 147736 184670 295472 369340 590944 738680 1181888 1477360 2954720 5909440 37246241 74492482 148984964 186231205 297969928 372462410 595939856 744924820 1191879712 1489849640 2197528219 2383759424 2979699280 4395056438 5959398560 8790112876 10987641095 11658073433 11918797120 17580225752 21975282190 23316146866 35160451504 43950564380 46632293732 58290367165 70320903008 87901128760 93264587464 116580734330 140641806016 175802257520 186529174928 233161468660 351604515040 373058349856 466322937320 687826332547 703209030080 746116699712 932645874640 1375652665094 1865291749280 2751305330188 3439131662735 3730583498560 5502610660376 6878263325470 11005221320752 13756526650940 22010442641504 27513053301880 44020885283008 55026106603760 110052213207520 220104426415040