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7112955444 = 22372191494273
BaseRepresentation
bin1101001111111011…
…10001011000110100
3200100201021120112020
412213331301120310
5104031404033234
63133451153140
7341160060300
oct64775613064
920321246466
107112955444
113020094781
1214661457b0
1389483459a
144b6960d00
152b96cc549
hex1a7f71634

7112955444 has 144 divisors (see below), whose sum is σ = 20463912000. Its totient is φ = 1911942144.

The previous prime is 7112955391. The next prime is 7112955523. The reversal of 7112955444 is 4445592117.

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

It is a junction number, because it is equal to n+sod(n) for n = 7112955396 and 7112955405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662492 + ... + 1666764.

It is an arithmetic number, because the mean of its divisors is an integer number (142110500).

Almost surely, 27112955444 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 7112955444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231956000).

7112955444 is an abundant number, since it is smaller than the sum of its proper divisors (13350956556).

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

7112955444 is a wasteful number, since it uses less digits than its factorization.

7112955444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4453 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 7112955444 is about 84338.3391109880. The cubic root of 7112955444 is about 1923.1656619756.

The spelling of 7112955444 in words is "seven billion, one hundred twelve million, nine hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 149 196 228 266 294 298 399 447 532 588 596 798 894 931 1043 1596 1788 1862 2086 2793 2831 3129 3724 4172 4273 5586 5662 6258 7301 8493 8546 11172 11324 12516 12819 14602 16986 17092 19817 21903 25638 29204 29911 33972 39634 43806 51276 59451 59822 79268 81187 87612 89733 118902 119644 138719 162374 179466 209377 237804 243561 277438 324748 358932 416157 418754 487122 554876 568309 628131 636677 832314 837508 974244 1136618 1256262 1273354 1664628 1704927 1910031 2273236 2512524 2546708 3409854 3820062 3978163 4456739 6819708 7640124 7956326 8913478 11934489 12096863 13370217 15912652 17826956 23868978 24193726 26740434 31197173 36290589 47737956 48387452 53480868 62394346 72581178 84678041 93591519 124788692 145162356 169356082 187183038 254034123 338712164 374366076 508068246 592746287 1016136492 1185492574 1778238861 2370985148 3556477722 7112955444