Search a number
-
+
44284400244756 = 2234727770490071
BaseRepresentation
bin10100001000110110000111…
…11100100001100000010100
312210210112202222212001210000
422010123003330201200110
521301023422430313011
6234103550030331300
712220304502203310
oct1204330374414024
9183715688761700
1044284400244756
11131239aa49aa31
124b72744059b30
131b93002334699
14ad153ac14b40
1551be13aa1356
hex2846c3f21814

44284400244756 has 120 divisors (see below), whose sum is σ = 132784122348416. Its totient is φ = 12607008039360.

The previous prime is 44284400244703. The next prime is 44284400244871. The reversal of 44284400244756 is 65744200448244.

It is a super-3 number, since 3×442844002447563 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34616800 + ... + 35873271.

Almost surely, 244284400244756 is an apocalyptic number.

It is an amenable number.

44284400244756 is an abundant number, since it is smaller than the sum of its proper divisors (88499722103660).

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

44284400244756 is a wasteful number, since it uses less digits than its factorization.

44284400244756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70490371 (or 70490360 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 54.

The spelling of 44284400244756 in words is "forty-four trillion, two hundred eighty-four billion, four hundred million, two hundred forty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 277 324 378 554 567 756 831 1108 1134 1662 1939 2268 2493 3324 3878 4986 5817 7479 7756 9972 11634 14958 17451 22437 23268 29916 34902 44874 52353 69804 89748 104706 157059 209412 314118 628236 70490071 140980142 211470213 281960284 422940426 493430497 634410639 845880852 986860994 1268821278 1480291491 1903231917 1973721988 2537642556 2960582982 3806463834 4440874473 5709695751 5921165964 7612927668 8881748946 11419391502 13322623419 17763497892 19525749667 22838783004 26645246838 39051499334 39967870257 53290493676 58577249001 78102998668 79935740514 117154498002 136680247669 159871481028 175731747003 234308996004 273360495338 351463494006 410040743007 527195241009 546720990676 702926988012 820081486014 1054390482018 1230122229021 1581585723027 1640162972028 2108780964036 2460244458042 3163171446054 3690366687063 4920488916084 6326342892108 7380733374126 11071100061189 14761466748252 22142200122378 44284400244756