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61334037114000 = 2435371460334217
BaseRepresentation
bin11011111001000011100010…
…11111101010110010010000
322001011110212111120111212020
431330201301133222302100
531014344102000122000
6334240245003331440
715630144421340460
oct1574416137526220
9261143774514766
1061334037114000
11185a7689a80882
126a66b44b20b80
13282ba0c555471
141120824581ba0
1571568bc58ba0
hex37c8717eac90

61334037114000 has 160 divisors (see below), whose sum is σ = 225989640903936. Its totient is φ = 14019208473600.

The previous prime is 61334037113963. The next prime is 61334037114071. The reversal of 61334037114000 is 41173043316.

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, 730125109 + ... + 730209108.

Almost surely, 261334037114000 is an apocalyptic number.

61334037114000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61334037114000 is an abundant number, since it is smaller than the sum of its proper divisors (164655603789936).

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

61334037114000 is a wasteful number, since it uses less digits than its factorization.

61334037114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460334250 (or 1460334234 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 61334037114000 in words is "sixty-one trillion, three hundred thirty-four billion, thirty-seven million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 1460334217 2920668434 4381002651 5841336868 7301671085 8762005302 10222339519 11682673736 14603342170 17524010604 20444679038 21905013255 23365347472 29206684340 30667018557 35048021208 36508355425 40889358076 43810026510 51111697595 58413368680 61334037114 70096042416 73016710850 81778716152 87620053020 102223395190 109525066275 116826737360 122668074228 146033421700 153335092785 163557432304 175240106040 182541777125 204446790380 219050132550 245336148456 255558487975 292066843400 306670185570 350480212080 365083554250 408893580760 438100265100 490672296912 511116975950 547625331375 584133686800 613340371140 730167108500 766675463925 817787161520 876200530200 1022233951900 1095250662750 1226680742280 1277792439875 1460334217000 1533350927850 1752401060400 2044467903800 2190501325500 2453361484560 2555584879750 2920668434000 3066701855700 3833377319625 4088935807600 4381002651000 5111169759500 6133403711400 7666754639250 8762005302000 10222339519000 12266807422800 15333509278500 20444679038000 30667018557000 61334037114000