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141246762700 = 225217611362071
BaseRepresentation
bin1000001110001011110…
…1101000111011001100
3111111120201200222122111
42003202331220323030
54303233132401300
6144515440153404
713130140446661
oct2034275507314
9444521628574
10141246762700
11549a212a43a
122345b308864
131041cc7a1c4
146b9d051a68
153a1a3e79ba
hex20e2f68ecc

141246762700 has 72 divisors (see below), whose sum is σ = 329855700384. Its totient is φ = 52303488000.

The previous prime is 141246762697. The next prime is 141246762733. The reversal of 141246762700 is 7267642141.

141246762700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412467627002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 577336 + ... + 784735.

It is an arithmetic number, because the mean of its divisors is an integer number (4581329172).

Almost surely, 2141246762700 is an apocalyptic number.

141246762700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141246762700 is an abundant number, since it is smaller than the sum of its proper divisors (188608937684).

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

141246762700 is a wasteful number, since it uses less digits than its factorization.

141246762700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362163 (or 1362156 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 141246762700 in words is "one hundred forty-one billion, two hundred forty-six million, seven hundred sixty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 51850 103700 1362071 2724142 5448284 6810355 13620710 23155207 27241420 34051775 46310414 68103550 83086331 92620828 115776035 136207100 166172662 231552070 332345324 415431655 463104140 578880175 830863310 1157760350 1412467627 1661726620 2077158275 2315520700 2824935254 4154316550 5649870508 7062338135 8308633100 14124676270 28249352540 35311690675 70623381350 141246762700