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144223460460 = 2232525125712421
BaseRepresentation
bin1000011001010001100…
…0110101110001101100
3111210021011212220022200
42012110120311301230
54330332201213320
6150131053141500
713263664121052
oct2062430656154
9453234786280
10144223460460
115618a424532
1223b5018a890
13107a5893221
146da25101d2
153b418d7290
hex2194635c6c

144223460460 has 144 divisors (see below), whose sum is σ = 440965298592. Its totient is φ = 38154240000.

The previous prime is 144223460449. The next prime is 144223460471. The reversal of 144223460460 is 64064322441.

144223460460 is a `hidden beast` number, since 1 + 4 + 42 + 2 + 3 + 4 + 604 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144223460449) and next prime (144223460471).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11605050 + ... + 11617470.

It is an arithmetic number, because the mean of its divisors is an integer number (3062259018).

Almost surely, 2144223460460 is an apocalyptic number.

144223460460 is a gapful number since it is divisible by the number (10) 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 144223460460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220482649296).

144223460460 is an abundant number, since it is smaller than the sum of its proper divisors (296741838132).

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

144223460460 is a wasteful number, since it uses less digits than its factorization.

144223460460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 144223460460 in words is "one hundred forty-four billion, two hundred twenty-three million, four hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 257 502 514 753 771 1004 1028 1255 1285 1506 1542 2259 2313 2510 2570 3012 3084 3765 3855 4518 4626 5020 5140 7530 7710 9036 9252 11295 11565 12421 15060 15420 22590 23130 24842 37263 45180 46260 49684 62105 64507 74526 111789 124210 129014 149052 186315 193521 223578 248420 258028 322535 372630 387042 447156 558945 580563 645070 745260 774084 967605 1117890 1161126 1290140 1935210 2235780 2322252 2902815 3117671 3192197 3870420 5805630 6235342 6384394 9353013 9576591 11611260 12470684 12768788 15588355 15960985 18706026 19153182 28059039 28729773 31176710 31921970 37412052 38306364 46765065 47882955 56118078 57459546 62353420 63843940 93530130 95765910 112236156 114919092 140295195 143648865 187060260 191531820 280590390 287297730 561180780 574595460 801241447 1602482894 2403724341 3204965788 4006207235 4807448682 7211173023 8012414470 9614897364 12018621705 14422346046 16024828940 24037243410 28844692092 36055865115 48074486820 72111730230 144223460460