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242411240004 = 2231929233157349
BaseRepresentation
bin1110000111000011010…
…1011111101001000100
3212011201001111220110020
43201300311133221010
512432424234140004
6303210122055140
723341114354023
oct3416065375104
9764631456406
10242411240004
119389590957a
123ab9304a4b0
1319b22ac446b
14ba389d68ba
15648b9a28d9
hex3870d5fa44

242411240004 has 96 divisors (see below), whose sum is σ = 618574320000. Its totient is φ = 73593547776.

The previous prime is 242411239997. The next prime is 242411240089. The reversal of 242411240004 is 400042114242.

242411240004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1461922 + ... + 1619270.

It is an arithmetic number, because the mean of its divisors is an integer number (6443482500).

Almost surely, 2242411240004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242411240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309287160000).

242411240004 is an abundant number, since it is smaller than the sum of its proper divisors (376163079996).

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

242411240004 is a wasteful number, since it uses less digits than its factorization.

242411240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157637 (or 157635 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242411240004 its reverse (400042114242), we get a palindrome (642453354246).

The spelling of 242411240004 in words is "two hundred forty-two billion, four hundred eleven million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 233 348 466 551 699 932 1102 1398 1653 2204 2796 3306 4427 6612 6757 8854 13281 13514 17708 20271 26562 27028 40542 53124 81084 128383 157349 256766 314698 385149 472047 513532 629396 770298 944094 1540596 1888188 2989631 4563121 5979262 8968893 9126242 11958524 13689363 17937786 18252484 27378726 35875572 36662317 54757452 73324634 86699299 109986951 146649268 173398598 219973902 260097897 346797196 439947804 520195794 696584023 1040391588 1063207193 1393168046 2089752069 2126414386 2786336092 3189621579 4179504138 4252828772 6379243158 8359008276 12758486316 20200936667 40401873334 60602810001 80803746668 121205620002 242411240004