Search a number
-
+
23402327317760 = 285173461310741
BaseRepresentation
bin1010101001000110001110…
…11010000001110100000000
310001212020111102120010212202
411110203013122001310000
511031410431243132020
6121434514124212332
74633522326035666
oct524430732016400
9101766442503782
1023402327317760
117502964745416
12275b64009a0a8
131009aa3670271
145ac970456c36
152a8b3548de75
hex1548c7681d00

23402327317760 has 144 divisors (see below), whose sum is σ = 59370632515152. Its totient is φ = 8807713996800.

The previous prime is 23402327317751. The next prime is 23402327317819. The reversal of 23402327317760 is 6771372320432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2373719513344 + 21028607804416 = 1540688^2 + 4585696^2 .

It is a super-2 number, since 2×234023273177602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75155990 + ... + 75466730.

It is an arithmetic number, because the mean of its divisors is an integer number (412296059133).

Almost surely, 223402327317760 is an apocalyptic number.

23402327317760 is a gapful number since it is divisible by the number (20) 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 23402327317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685316257576).

23402327317760 is an abundant number, since it is smaller than the sum of its proper divisors (35968305197392).

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

23402327317760 is a wasteful number, since it uses less digits than its factorization.

23402327317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314240 (or 314226 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 47.

The spelling of 23402327317760 in words is "twenty-three trillion, four hundred two billion, three hundred twenty-seven million, three hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 3461 4352 5440 6922 10880 13844 17305 21760 27688 34610 55376 58837 69220 110752 117674 138440 221504 235348 276880 294185 310741 443008 470696 553760 588370 621482 886016 941392 1107520 1176740 1242964 1553705 1882784 2215040 2353480 2485928 3107410 3765568 4430080 4706960 4971856 5282597 6214820 7531136 9413920 9943712 10565194 12429640 15062272 18827840 19887424 21130388 24859280 26412985 37655680 39774848 42260776 49718560 52825970 75311360 79549696 84521552 99437120 105651940 169043104 198874240 211303880 338086208 397748480 422607760 676172416 845215520 1075474601 1352344832 1690431040 2150949202 3380862080 4301898404 5377373005 6761724160 8603796808 10754746010 17207593616 18283068217 21509492020 34415187232 36566136434 43018984040 68830374464 73132272868 86037968080 91415341085 137660748928 146264545736 172075936160 182830682170 275321497856 292529091472 344151872320 365661364340 585058182944 688303744640 731322728680 1170116365888 1376607489280 1462645457360 2340232731776 2925290914720 4680465463552 5850581829440 11701163658880 23402327317760