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4400851104 = 2532137914879
BaseRepresentation
bin1000001100100111…
…11010100010100000
3102100200222101210100
410012103322202200
533003104213404
62004405302400
7214025421456
oct40623724240
912320871710
104400851104
111959190631
12a29a04a00
135519a0510
142da69a9d6
151ab555d39
hex1064fa8a0

4400851104 has 144 divisors (see below), whose sum is σ = 13649126400. Its totient is φ = 1336877568.

The previous prime is 4400851099. The next prime is 4400851127. The reversal of 4400851104 is 4011580044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288337 + ... + 303215.

It is an arithmetic number, because the mean of its divisors is an integer number (94785600).

Almost surely, 24400851104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400851104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

4400851104 is an abundant number, since it is smaller than the sum of its proper divisors (9248275296).

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

4400851104 is a wasteful number, since it uses less digits than its factorization.

4400851104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4400851104 is about 66338.9109346845. The cubic root of 4400851104 is about 1638.7481900882.

The spelling of 4400851104 in words is "four billion, four hundred million, eight hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 208 234 237 288 312 316 416 468 474 624 632 711 936 948 1027 1248 1264 1422 1872 1896 2054 2528 2844 3081 3744 3792 4108 5688 6162 7584 8216 9243 11376 12324 14879 16432 18486 22752 24648 29758 32864 36972 44637 49296 59516 73944 89274 98592 119032 133911 147888 178548 193427 238064 267822 295776 357096 386854 476128 535644 580281 714192 773708 1071288 1160562 1175441 1428384 1547416 1740843 2142576 2321124 2350882 3094832 3481686 3526323 4285152 4642248 4701764 6189664 6963372 7052646 9284496 9403528 10578969 13926744 14105292 15280733 18568992 18807056 21157938 27853488 28210584 30561466 37614112 42315876 45842199 55706976 56421168 61122932 84631752 91684398 112842336 122245864 137526597 169263504 183368796 244491728 275053194 338527008 366737592 488983456 550106388 733475184 1100212776 1466950368 2200425552 4400851104