Search a number
-
+
5240425502412 = 223219113631710733
BaseRepresentation
bin100110001000010000110…
…1100110101011011001100
3200112222110021010002222200
41030100201230311123030
51141324342412034122
615051230201241500
71050415425545562
oct114204154653314
920488407102880
105240425502412
1117404a763aa91
12707767a93290
132c0229666069
141418d0757a32
15914aebcc5ac
hex4c421b356cc

5240425502412 has 144 divisors (see below), whose sum is σ = 14070756641760. Its totient is φ = 1639813883904.

The previous prime is 5240425502369. The next prime is 5240425502423. The reversal of 5240425502412 is 2142055240425.

5240425502412 is a `hidden beast` number, since 5 + 2 + 40 + 42 + 550 + 24 + 1 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 488248198 + ... + 488258930.

It is an arithmetic number, because the mean of its divisors is an integer number (97713587790).

Almost surely, 25240425502412 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 5240425502412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035378320880).

5240425502412 is an abundant number, since it is smaller than the sum of its proper divisors (8830331139348).

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

5240425502412 is a wasteful number, since it uses less digits than its factorization.

5240425502412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17187 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 5240425502412 in words is "five trillion, two hundred forty billion, four hundred twenty-five million, five hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6317 6441 8588 10733 12634 12882 18951 19323 21466 25268 25764 32199 37902 38646 42932 56853 64398 75804 77292 96597 113706 120023 128796 193194 203927 227412 240046 360069 386388 407854 480092 611781 713821 720138 815708 1080207 1212829 1223562 1427642 1440276 1835343 2141463 2160414 2425658 2447124 2855284 3638487 3670686 4282926 4320828 4851316 6424389 7276974 7341372 8565852 10915461 12848778 13562599 14553948 21830922 23043751 25697556 27125198 40687797 43661844 46087502 54250396 67800361 69131253 81375594 92175004 122063391 135600722 138262506 162751188 203401083 207393759 244126782 271201444 276525012 406802166 414787518 488253564 610203249 813604332 829575036 1220406498 1288206859 2440812996 2576413718 3864620577 5152827436 7661440793 7729241154 11593861731 15322881586 15458482308 22984322379 23187723462 30645763172 45968644758 46375446924 68952967137 91937289516 137905934274 145567375067 275811868548 291134750134 436702125201 582269500268 873404250402 1310106375603 1746808500804 2620212751206 5240425502412