Search a number
-
+
41270059192320 = 2123257227140909
BaseRepresentation
bin10010110001000111011110…
…01101111101000000000000
312102010101020101100211202200
421120203233031331000000
520402132040123123240
6223435111540313200
711456443353050550
oct1130435715750000
9172111211324680
1041270059192320
1112171596562302
1247664b73a2800
131a0499965324a
14a296a5427160
154b87e030b930
hex2588ef37d000

41270059192320 has 624 divisors, whose sum is σ = 164209461736320. Its totient is φ = 9391533981696.

The previous prime is 41270059192283. The next prime is 41270059192343. The reversal of 41270059192320 is 2329195007214.

41270059192320 is a `hidden beast` number, since 4 + 1 + 27 + 0 + 0 + 591 + 9 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292814026 + ... + 292954934.

It is an arithmetic number, because the mean of its divisors is an integer number (263156188680).

Almost surely, 241270059192320 is an apocalyptic number.

41270059192320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41270059192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82104730868160).

41270059192320 is an abundant number, since it is smaller than the sum of its proper divisors (122939402544000).

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

41270059192320 is a wasteful number, since it uses less digits than its factorization.

41270059192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141178 (or 141153 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41270059192320 in words is "forty-one trillion, two hundred seventy billion, fifty-nine million, one hundred ninety-two thousand, three hundred twenty".