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1414426621160 = 2357233148114639
BaseRepresentation
bin10100100101010010011…
…001010111010011101000
312000012212211020002021002
4110211102121113103220
5141133221203334120
63001440103134132
7204121544624030
oct24452231272350
95005784202232
101414426621160
114a5944a542a3
121aa160744348
13a34c27183b7
144c65c6168c0
1526bd4964375
hex149526574e8

1414426621160 has 128 divisors (see below), whose sum is σ = 3655422950400. Its totient is φ = 482505953280.

The previous prime is 1414426621151. The next prime is 1414426621171. The reversal of 1414426621160 is 611266244141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96613121 + ... + 96627759.

It is an arithmetic number, because the mean of its divisors is an integer number (28557991800).

Almost surely, 21414426621160 is an apocalyptic number.

1414426621160 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 1414426621160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827711475200).

1414426621160 is an abundant number, since it is smaller than the sum of its proper divisors (2240996329240).

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

1414426621160 is a wasteful number, since it uses less digits than its factorization.

1414426621160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 1414426621160 in words is "one trillion, four hundred fourteen billion, four hundred twenty-six million, six hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1481 1631 1864 2330 2962 3262 4660 5924 6524 7405 8155 9320 10367 11848 13048 14639 14810 16310 20734 29278 29620 32620 41468 51835 58556 59240 65240 73195 82936 102473 103670 117112 146390 204946 207340 292780 345073 409892 414680 512365 585560 690146 819784 1024730 1380292 1725365 2049460 2415511 2760584 3410887 3450730 4098920 4831022 6821774 6901460 9662044 12077555 13643548 13802920 17054435 19324088 21680359 23876209 24155110 27287096 34108870 43360718 47752418 48310220 68217740 86721436 95504836 96620440 108401795 119381045 136435480 151762513 173442872 191009672 216803590 238762090 303525026 433607180 477524180 607050052 758812565 867214360 955048360 1214100104 1517625130 3035250260 5051523647 6070500520 10103047294 20206094588 25257618235 35360665529 40412189176 50515236470 70721331058 101030472940 141442662116 176803327645 202060945880 282885324232 353606655290 707213310580 1414426621160