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356421067440 = 24351499990719
BaseRepresentation
bin1010010111111000101…
…10011110001010110000
31021001222121010012222120
411023330112132022300
521314422243124230
6431423152234240
734515306041334
oct5137426361260
91231877105876
10356421067440
11128180445359
12590b083b980
13277c1c73c09
141337256b7c4
159410b12310
hex52fc59e2b0

356421067440 has 80 divisors (see below), whose sum is σ = 1105643520000. Its totient is φ = 94982116096.

The previous prime is 356421067421. The next prime is 356421067487. The reversal of 356421067440 is 44760124653.

It is a happy number.

356421067440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 356421067392 and 356421067401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135600 + ... + 855119.

It is an arithmetic number, because the mean of its divisors is an integer number (13820544000).

Almost surely, 2356421067440 is an apocalyptic number.

356421067440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

356421067440 is an abundant number, since it is smaller than the sum of its proper divisors (749222452560).

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

356421067440 is a wasteful number, since it uses less digits than its factorization.

356421067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992234 (or 992228 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 356421067440 in words is "three hundred fifty-six billion, four hundred twenty-one million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1499 2998 4497 5996 7495 8994 11992 14990 17988 22485 23984 29980 35976 44970 59960 71952 89940 119920 179880 359760 990719 1981438 2972157 3962876 4953595 5944314 7925752 9907190 11888628 14860785 15851504 19814380 23777256 29721570 39628760 47554512 59443140 79257520 118886280 237772560 1485087781 2970175562 4455263343 5940351124 7425438905 8910526686 11880702248 14850877810 17821053372 22276316715 23761404496 29701755620 35642106744 44552633430 59403511240 71284213488 89105266860 118807022480 178210533720 356421067440