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241619107128 = 233719620312203
BaseRepresentation
bin1110000100000110011…
…1101111110100111000
3212002122211222101102120
43201001213233310320
512424313442412003
6302555344001240
723312355344520
oct3410147576470
9762584871376
10241619107128
1193519761403
123a9b1900220
1319a27967399
14b9a1718680
156442181853
hex38419efd38

241619107128 has 128 divisors (see below), whose sum is σ = 726850713600. Its totient is φ = 65384758656.

The previous prime is 241619107123. The next prime is 241619107153. The reversal of 241619107128 is 821701916142.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 241619107128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241619107123) 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, 19793875 + ... + 19806077.

It is an arithmetic number, because the mean of its divisors is an integer number (5678521200).

Almost surely, 2241619107128 is an apocalyptic number.

241619107128 is a gapful number since it is divisible by the number (28) 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 241619107128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363425356800).

241619107128 is an abundant number, since it is smaller than the sum of its proper divisors (485231606472).

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

241619107128 is a wasteful number, since it uses less digits than its factorization.

241619107128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 241619107128 in words is "two hundred forty-one billion, six hundred nineteen million, one hundred seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6203 12203 12406 18609 24406 24812 36609 37218 43421 48812 49624 73218 74436 85421 86842 97624 117857 130263 146436 148872 170842 173684 231857 235714 256263 260526 292872 341684 347368 353571 463714 471428 512526 521052 683368 695571 707142 824999 927428 942856 1025052 1042104 1391142 1414284 1622999 1649998 1854856 2050104 2474997 2782284 2828568 3245998 3299996 4868997 4949994 5564568 6491996 6599992 9737994 9899988 12983992 19475988 19799976 38951976 75695209 151390418 227085627 302780836 454171254 529866463 605561672 908342508 1059732926 1438208971 1589599389 1816685016 2119465852 2876417942 3179198778 4238931704 4314626913 5752835884 6358397556 8629253826 10067462797 11505671768 12716795112 17258507652 20134925594 30202388391 34517015304 40269851188 60404776782 80539702376 120809553564 241619107128