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6141182940 = 2233511372561
BaseRepresentation
bin1011011100000101…
…10000001111011100
3120211222201102021000
411232002300033130
5100034120323230
62453214510300
7305120123304
oct55602601734
916758642230
106141182940
1126715a0702
121234805390
1376b3cb679
14423880604
1525e224b60
hex16e0b03dc

6141182940 has 48 divisors (see below), whose sum is σ = 19105904160. Its totient is φ = 1637648640.

The previous prime is 6141182933. The next prime is 6141182953. The reversal of 6141182940 is 492811416.

6141182940 is a `hidden beast` number, since 614 + 1 + 18 + 29 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6141182895 and 6141182904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5685741 + ... + 5686820.

It is an arithmetic number, because the mean of its divisors is an integer number (398039670).

Almost surely, 26141182940 is an apocalyptic number.

6141182940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6141182940 is an abundant number, since it is smaller than the sum of its proper divisors (12964721220).

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

6141182940 is a wasteful number, since it uses less digits than its factorization.

6141182940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372579 (or 11372571 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6141182940 is about 78365.7000223950. The cubic root of 6141182940 is about 1831.2628209254.

The spelling of 6141182940 in words is "six billion, one hundred forty-one million, one hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11372561 22745122 34117683 45490244 56862805 68235366 102353049 113725610 136470732 170588415 204706098 227451220 307059147 341176830 409412196 511765245 614118294 682353660 1023530490 1228236588 1535295735 2047060980 3070591470 6141182940