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51442980444 = 2235229239967
BaseRepresentation
bin101111111010001111…
…011001011001011100
311220210011001011200000
4233322033121121130
51320323400333234
635344345334300
73500543055552
oct577217313134
9156704034600
1051442980444
111a8a9248679
129b78197390
134b0a9b97cb
1426c022dbd2
1515113c9899
hexbfa3d965c

51442980444 has 144 divisors (see below), whose sum is σ = 136148812800. Its totient is φ = 16983763776.

The previous prime is 51442980439. The next prime is 51442980461. The reversal of 51442980444 is 44408924415.

51442980444 is a `hidden beast` number, since 514 + 4 + 2 + 98 + 0 + 4 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51442980444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53198049 + ... + 53199015.

Almost surely, 251442980444 is an apocalyptic number.

51442980444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51442980444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68074406400).

51442980444 is an abundant number, since it is smaller than the sum of its proper divisors (84705832356).

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

51442980444 is a wasteful number, since it uses less digits than its factorization.

51442980444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 51442980444 in words is "fifty-one billion, four hundred forty-two million, nine hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 239 243 324 458 478 486 687 717 916 956 967 972 1374 1434 1934 2061 2151 2748 2868 2901 3868 4122 4302 5802 6183 6453 8244 8604 8703 11604 12366 12906 17406 18549 19359 24732 25812 26109 34812 37098 38718 52218 54731 55647 58077 74196 77436 78327 104436 109462 111294 116154 156654 164193 218924 221443 222588 231113 232308 234981 313308 328386 442886 462226 469962 492579 656772 664329 693339 885772 924452 939924 985158 1328658 1386678 1477737 1970316 1992987 2080017 2657316 2773356 2955474 3985974 4160034 4433211 5910948 5978961 6240051 7971948 8320068 8866422 11957922 12480102 13299633 17732844 17936883 18720153 23915844 24960204 26599266 35873766 37440306 52924877 53198532 53810649 56160459 71747532 74880612 105849754 107621298 112320918 158774631 211699508 215242596 224641836 317549262 476323893 635098524 952647786 1428971679 1905295572 2857943358 4286915037 5715886716 8573830074 12860745111 17147660148 25721490222 51442980444