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1441630944 = 2532133112421
BaseRepresentation
bin101010111101101…
…1000101011100000
310201110200102212200
41111323120223200
510423024142234
6355015053200
750503442445
oct12573305340
93643612780
101441630944
1167a843736
12342971200
1319c896780
14d966b9cc
1586869d99
hex55ed8ae0

1441630944 has 144 divisors (see below), whose sum is σ = 4557780864. Its totient is φ = 429235200.

The previous prime is 1441630907. The next prime is 1441630973. The reversal of 1441630944 is 4490361441.

It is a happy number.

1441630944 is a `hidden beast` number, since 14 + 4 + 1 + 630 + 9 + 4 + 4 = 666.

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

It is a super-2 number, since 2×14416309442 = 4156599557396662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1441630899 and 1441630908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109854 + ... + 122274.

It is an arithmetic number, because the mean of its divisors is an integer number (31651256).

Almost surely, 21441630944 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 1441630944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278890432).

1441630944 is an abundant number, since it is smaller than the sum of its proper divisors (3116149920).

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

1441630944 is a wasteful number, since it uses less digits than its factorization.

1441630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1441630944 is about 37968.8154147585. The cubic root of 1441630944 is about 1129.6694007683.

The spelling of 1441630944 in words is "one billion, four hundred forty-one million, six hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12421 12896 14508 19344 24842 29016 37263 38688 49684 58032 74526 99368 111789 116064 149052 161473 198736 223578 298104 322946 385051 397472 447156 484419 596208 645892 770102 894312 968838 1155153 1192416 1291784 1453257 1540204 1788624 1937676 2310306 2583568 2906514 3080408 3465459 3577248 3875352 4620612 5005663 5167136 5813028 6160816 6930918 7750704 9241224 10011326 11626056 12321632 13861836 15016989 15501408 18482448 20022652 23252112 27723672 30033978 36964896 40045304 45050967 46504224 55447344 60067956 80090608 90101934 110894688 120135912 160181216 180203868 240271824 360407736 480543648 720815472 1441630944