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145541151345000 = 2335479122819537
BaseRepresentation
bin100001000101111001110000…
…101000000100100101101000
3201002022121011002002022011210
4201011321300220010211220
5123034021234221020000
61233312403142553120
742441000256423425
oct4105716050044550
9632277132068153
10145541151345000
1142412723758834
12143a6a251387a0
1363296193922c8
1427d232d32ad4c
1511c5cd5452350
hex845e70a04968

145541151345000 has 160 divisors (see below), whose sum is σ = 460425884054400. Its totient is φ = 38319695232000.

The previous prime is 145541151344989. The next prime is 145541151345041. The reversal of 145541151345000 is 543151145541.

It is a self number, because there is not a number n which added to its sum of digits gives 145541151345000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60224769 + ... + 62594768.

It is an arithmetic number, because the mean of its divisors is an integer number (2877661775340).

Almost surely, 2145541151345000 is an apocalyptic number.

145541151345000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145541151345000 is an abundant number, since it is smaller than the sum of its proper divisors (314884732709400).

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

145541151345000 is a wasteful number, since it uses less digits than its factorization.

145541151345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122819645 (or 122819626 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 145541151345000 in words is "one hundred forty-five trillion, five hundred forty-one billion, one hundred fifty-one million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 125 150 158 200 237 250 300 316 375 395 474 500 600 625 632 750 790 948 1000 1185 1250 1500 1580 1875 1896 1975 2370 2500 3000 3160 3750 3950 4740 5000 5925 7500 7900 9480 9875 11850 15000 15800 19750 23700 29625 39500 47400 49375 59250 79000 98750 118500 148125 197500 237000 296250 395000 592500 1185000 122819537 245639074 368458611 491278148 614097685 736917222 982556296 1228195370 1473834444 1842293055 2456390740 2947668888 3070488425 3684586110 4912781480 6140976850 7369172220 9211465275 9702743423 12281953700 14738344440 15352442125 18422930550 19405486846 24563907400 29108230269 30704884250 36845861100 38810973692 46057326375 48513717115 58216460538 61409768500 73691722200 76762210625 77621947384 92114652750 97027434230 116432921076 122819537000 145541151345 153524421250 184229305500 194054868460 230286631875 232865842152 242568585575 291082302690 307048842500 368458611000 388109736920 460573263750 485137171150 582164605380 614097685000 727705756725 921146527500 970274342300 1164329210760 1212842927875 1455411513450 1842293055000 1940548684600 2425685855750 2910823026900 3638528783625 4851371711500 5821646053800 6064214639375 7277057567250 9702743423000 12128429278750 14554115134500 18192643918125 24256858557500 29108230269000 36385287836250 48513717115000 72770575672500 145541151345000