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144345126464220 = 223511972254688011
BaseRepresentation
bin100000110100011111110111…
…111111001110101011011100
3200221002021000001021011122010
4200310133313333032223130
5122404422304333323340
61230555122522551220
742255406536606303
oct4064376777165334
9627067001234563
10144345126464220
1141aa1473901640
1214233076968510
1362708c14c7166
1427904acb1b43a
1511a4b34724b80
hex8347f7fceadc

144345126464220 has 96 divisors (see below), whose sum is σ = 445454201154816. Its totient is φ = 34632007833600.

The previous prime is 144345126464167. The next prime is 144345126464239. The reversal of 144345126464220 is 22464621543441.

It is a self number, because there is not a number n which added to its sum of digits gives 144345126464220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127279986 + ... + 1127408025.

It is an arithmetic number, because the mean of its divisors is an integer number (4640147928696).

Almost surely, 2144345126464220 is an apocalyptic number.

144345126464220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144345126464220 is an abundant number, since it is smaller than the sum of its proper divisors (301109074690596).

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

144345126464220 is a wasteful number, since it uses less digits than its factorization.

144345126464220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254688131 (or 2254688129 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 144345126464220 in words is "one hundred forty-four trillion, three hundred forty-five billion, one hundred twenty-six million, four hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 64020 2254688011 4509376022 6764064033 9018752044 11273440055 13528128066 22546880110 24801568121 27056256132 33820320165 45093760220 49603136242 67640640330 74404704363 99206272484 124007840605 135281280660 148809408726 218704737067 248015681210 297618817452 372023521815 437409474134 496031362420 656114211201 744047043630 874818948268 1093523685335 1312228422402 1488094087260 2187047370670 2405752107737 2624456844804 3280571056005 4374094741340 4811504215474 6561142112010 7217256323211 9623008430948 12028760538685 13122284224020 14434512646422 24057521077370 28869025292844 36086281616055 48115042154740 72172563232110 144345126464220