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241379440104 = 233117130834177
BaseRepresentation
bin1110000011001101010…
…1011111010111101000
3212002001011000001002010
43200303111133113220
512423321114040404
6302515503035520
723303415250035
oct3406325372750
9762034001063
10241379440104
1193406445a90
123a94559bba0
13199ba101c8a
14b97b96c38c
15642b0de189
hex383355f5e8

241379440104 has 128 divisors (see below), whose sum is σ = 667955911680. Its totient is φ = 72074419200.

The previous prime is 241379440103. The next prime is 241379440153. The reversal of 241379440104 is 401044973142.

It is not an unprimeable number, because it can be changed into a prime (241379440103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57785664 + ... + 57789840.

It is an arithmetic number, because the mean of its divisors is an integer number (5218405560).

Almost surely, 2241379440104 is an apocalyptic number.

241379440104 is a gapful number since it is divisible by the number (24) 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 241379440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333977955840).

241379440104 is an abundant number, since it is smaller than the sum of its proper divisors (426576471576).

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

241379440104 is a wasteful number, since it uses less digits than its factorization.

241379440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 241379440104 in words is "two hundred forty-one billion, three hundred seventy-nine million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3083 3124 4177 4686 6166 6248 8354 9249 9372 12332 12531 16708 18498 18744 24664 25062 33416 33913 36996 45947 50124 67826 73992 91894 100248 101739 135652 137841 183788 203478 218893 271304 275682 296567 367576 406956 437786 551364 593134 656679 813912 875572 889701 1102728 1186268 1313358 1751144 1779402 2372536 2407823 2626716 3262237 3558804 4815646 5253432 6524474 7117608 7223469 9631292 9786711 12877691 13048948 14446938 19262584 19573422 25755382 26097896 28893876 38633073 39146844 51510764 57787752 77266146 78293688 103021528 141654601 154532292 283309202 309064584 424963803 566618404 849927606 914316061 1133236808 1699855212 1828632122 2742948183 3399710424 3657264244 5485896366 7314528488 10057476671 10971792732 20114953342 21943585464 30172430013 40229906684 60344860026 80459813368 120689720052 241379440104