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5144440860 = 22325135573947
BaseRepresentation
bin1001100101010000…
…11111000000011100
3111021112011200011200
410302220133000130
541013434101420
62210251115500
7241325011566
oct46250370034
914245150150
105144440860
1121aa9a2619
12bb6a42b90
1363ca62360
1436b340336
15201988b90
hex132a1f01c

5144440860 has 144 divisors (see below), whose sum is σ = 16839609696. Its totient is φ = 1263730176.

The previous prime is 5144440859. The next prime is 5144440879. The reversal of 5144440860 is 680444415.

It is a happy number.

5144440860 is a `hidden beast` number, since 514 + 44 + 40 + 8 + 60 = 666.

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

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, 1301407 + ... + 1305353.

It is an arithmetic number, because the mean of its divisors is an integer number (116941734).

Almost surely, 25144440860 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 5144440860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419804848).

5144440860 is an abundant number, since it is smaller than the sum of its proper divisors (11695168836).

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

5144440860 is a wasteful number, since it uses less digits than its factorization.

5144440860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5144440860 is about 71724.7576503400. The cubic root of 5144440860 is about 1726.2859119962.

The spelling of 5144440860 in words is "five billion, one hundred forty-four million, four hundred forty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 557 585 780 1114 1170 1671 2228 2340 2785 3342 3947 5013 5570 6684 7241 7894 8355 10026 11140 11841 14482 15788 16710 19735 20052 21723 23682 25065 28964 33420 35523 36205 39470 43446 47364 50130 51311 59205 65169 71046 72410 78940 86892 100260 102622 108615 118410 130338 142092 144820 153933 177615 205244 217230 236820 256555 260676 307866 325845 355230 434460 461799 513110 615732 651690 710460 769665 923598 1026220 1303380 1539330 1847196 2198479 2308995 3078660 4396958 4617990 6595437 8793916 9235980 10992395 13190874 19786311 21984790 26381748 28580227 32977185 39572622 43969580 57160454 65954370 79145244 85740681 98931555 114320908 131908740 142901135 171481362 197863110 257222043 285802270 342962724 395726220 428703405 514444086 571604540 857406810 1028888172 1286110215 1714813620 2572220430 5144440860