Search a number
-
+
4056642254112 = 253731194731291
BaseRepresentation
bin111011000010000010101…
…110000111010100100000
3112100210220101002100020120
4323002002232013110200
51012431000404112422
612343332402040240
7566040243140160
oct73020256072440
915323811070216
104056642254112
111324459883528
12556255349080
13235702a05626
141004b1ca45a0
15707c8a5045c
hex3b082b87520

4056642254112 has 96 divisors (see below), whose sum is σ = 12562505109504. Its totient is φ = 1121652230400.

The previous prime is 4056642254089. The next prime is 4056642254113. The reversal of 4056642254112 is 2114522466504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4056642254113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97344814 + ... + 97386477.

It is an arithmetic number, because the mean of its divisors is an integer number (130859428224).

Almost surely, 24056642254112 is an apocalyptic number.

4056642254112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4056642254112 is an abundant number, since it is smaller than the sum of its proper divisors (8505862855392).

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

4056642254112 is a wasteful number, since it uses less digits than its factorization.

4056642254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194731342 (or 194731334 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4056642254112 in words is "four trillion, fifty-six billion, six hundred forty-two million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 194731291 389462582 584193873 778925164 1168387746 1363119037 1557850328 2336775492 2726238074 3115700656 4089357111 4673550984 5452476148 6036670021 6231401312 8178714222 9347101968 10904952296 12073340042 16357428444 18110010063 18694203936 21809904592 24146680084 32714856888 36220020126 42256690147 43619809184 48293360168 65429713776 72440040252 84513380294 96586720336 126770070441 130859427552 144880080504 169026760588 193173440672 253540140882 289760161008 338053521176 507080281764 579520322016 676107042352 1014160563528 1352214084704 2028321127056 4056642254112