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615225131125242 = 2311314229439116193
BaseRepresentation
bin1000101111100010110100001…
…1011001011100100111111010
32222200022221121012011200021120
42023320231003121130213322
51121114322032032001432
610020250305023250110
7243405356163443421
oct21370550331344772
92880287535150246
10615225131125242
111690365706a8010
1259002903749936
13205396337a2781
14abcd0ab7822b8
154b1d63e22ac2c
hex22f8b4365c9fa

615225131125242 has 128 divisors (see below), whose sum is σ = 1386338563768320. Its totient is φ = 180323049984000.

The previous prime is 615225131125181. The next prime is 615225131125343. The reversal of 615225131125242 is 242521131522516.

It is a junction number, because it is equal to n+sod(n) for n = 615225131125194 and 615225131125203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37993268698 + ... + 37993284890.

It is an arithmetic number, because the mean of its divisors is an integer number (10830770029440).

Almost surely, 2615225131125242 is an apocalyptic number.

615225131125242 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 615225131125242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693169281884160).

615225131125242 is an abundant number, since it is smaller than the sum of its proper divisors (771113432643078).

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

615225131125242 is a wasteful number, since it uses less digits than its factorization.

615225131125242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24860.

The product of its digits is 288000, while the sum is 42.

Adding to 615225131125242 its reverse (242521131522516), we get a palindrome (857746262647758).

The spelling of 615225131125242 in words is "six hundred fifteen trillion, two hundred twenty-five billion, one hundred thirty-one million, one hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 4229 4391 8458 8782 12687 13173 16193 25374 26346 32386 46519 48301 48579 93038 96602 97158 131099 136121 139557 144903 178123 262198 272242 279114 289806 356246 393297 408363 501983 534369 786594 816726 1003966 1068738 1442089 1497331 1505949 2884178 2994662 3011898 4326267 4491993 5521813 8652534 8983986 11043626 16565439 18569539 33130878 37139078 55708617 68480197 71103463 111417234 136960394 142206926 204264929 205440591 213310389 408529858 410881182 426620778 575655709 612794787 753282167 782138093 1151311418 1225589574 1506564334 1564276186 1726967127 2122886107 2204207353 2259846501 2346414279 3453934254 4245772214 4408414706 4519693002 4692828558 6332212799 6368658321 6612622059 12664425598 12737316642 13225244118 18996638397 23351747177 24246280883 37993276794 46703494354 48492561766 70055241531 72738842649 140110483062 145477685298 300696545027 601393090054 902089635081 1804179270162 3307661995297 6615323990594 9321592895837 9922985985891 18643185791674 19845971971782 27964778687511 55929557375022 102537521854207 205075043708414 307612565562621 615225131125242