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42402240220416 = 28367382037519
BaseRepresentation
bin10011010010000100010100…
…11101110100110100000000
312120010121121000201012221220
421221002022131310310000
521024204241444023131
6230103153101115040
711634314020025466
oct1151021235646400
9176117530635856
1042402240220416
11125687641a8a8a
124909a08558a80
131a8768b61177b
14a683ca878836
154d7ea6106e96
hex26908a774d00

42402240220416 has 72 divisors (see below), whose sum is σ = 113019481653120. Its totient is φ = 14113078296576.

The previous prime is 42402240220337. The next prime is 42402240220441. The reversal of 42402240220416 is 61402204220424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40501896 + ... + 41535623.

It is an arithmetic number, because the mean of its divisors is an integer number (1569715022960).

Almost surely, 242402240220416 is an apocalyptic number.

It is an amenable number.

42402240220416 is an abundant number, since it is smaller than the sum of its proper divisors (70617241432704).

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

42402240220416 is an equidigital number, since it uses as much as digits as its factorization.

42402240220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82038211 (or 82038197 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 42402240220416 in words is "forty-two trillion, four hundred two billion, two hundred forty million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 673 768 1346 2019 2692 4038 5384 8076 10768 16152 21536 32304 43072 64608 86144 129216 172288 258432 516864 82037519 164075038 246112557 328150076 492225114 656300152 984450228 1312600304 1968900456 2625200608 3937800912 5250401216 7875601824 10500802432 15751203648 21001604864 31502407296 55211250287 63004814592 110422500574 165633750861 220845001148 331267501722 441690002296 662535003444 883380004592 1325070006888 1766760009184 2650140013776 3533520018368 5300280027552 7067040036736 10600560055104 14134080073472 21201120110208 42402240220416