Search a number
-
+
2144430035964 = 2232175994163113
BaseRepresentation
bin11111001101001001111…
…111011001001111111100
321121000011000102212121100
4133031021333121033330
5240113243042122324
64321045413533100
7310633655361066
oct37151177311774
97530130385540
102144430035964
117574a1939577
122a7731344190
131272acb74808
1475b105b4736
153abacabc4c9
hex1f349fd93fc

2144430035964 has 144 divisors (see below), whose sum is σ = 5843078972640. Its totient is φ = 660646318080.

The previous prime is 2144430035939. The next prime is 2144430035989. The reversal of 2144430035964 is 4695300344412.

2144430035964 is a `hidden beast` number, since 2 + 14 + 4 + 43 + 0 + 0 + 3 + 596 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2144430035939) and next prime (2144430035989).

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, 33946072 + ... + 34009184.

It is an arithmetic number, because the mean of its divisors is an integer number (40576937310).

Almost surely, 22144430035964 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 2144430035964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921539486320).

2144430035964 is an abundant number, since it is smaller than the sum of its proper divisors (3698648936676).

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

2144430035964 is a wasteful number, since it uses less digits than its factorization.

2144430035964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64140 (or 64135 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2144430035964 in words is "two trillion, one hundred forty-four billion, four hundred thirty million, thirty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 941 1003 1062 1882 2006 2124 2823 3009 3764 4012 5646 6018 8469 9027 11292 12036 15997 16938 18054 31994 33876 36108 47991 55519 63113 63988 95982 111038 126226 143973 166557 189339 191964 222076 252452 287946 333114 378678 499671 568017 575892 666228 757356 943823 999342 1072921 1136034 1887646 1998684 2145842 2272068 2831469 3218763 3723667 3775292 4291684 5662938 6437526 7447334 8494407 9656289 11171001 11325876 12875052 14894668 16988814 19312578 22342002 33513003 33977628 38625156 44684004 59389333 63302339 67026006 118778666 126604678 134052012 178167999 189907017 237557332 253209356 356335998 379814034 534503997 569721051 712671996 759628068 1009618661 1069007994 1139442102 2019237322 2138015988 2278884204 3028855983 3503970647 4038474644 6057711966 7007941294 9086567949 10511911941 12115423932 14015882588 18173135898 21023823882 31535735823 36346271796 42047647764 59567500999 63071471646 119135001998 126142943292 178702502997 238270003996 357405005994 536107508991 714810011988 1072215017982 2144430035964