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242289382893760 = 2653124424332953
BaseRepresentation
bin110111000101110001100100…
…100110011010100011000000
31011202212122020200101001212001
4313011301210212122203000
5223224132124010100020
62215150112250313344
7102014554530033406
oct6705614446324300
91152778220331761
10242289382893760
1170223394199434
1223211380128854
13a526a38424307
1443b8c23a11476
151d027822dd50a
hexdc5c6499a8c0

242289382893760 has 56 divisors (see below), whose sum is σ = 595562934750336. Its totient is φ = 93789438535680.

The previous prime is 242289382893743. The next prime is 242289382893829. The reversal of 242289382893760 is 67398283982242.

It is a super-2 number, since 2×2422893828937602 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12212156557 + ... + 12212176396.

It is an arithmetic number, because the mean of its divisors is an integer number (10635052406256).

Almost surely, 2242289382893760 is an apocalyptic number.

242289382893760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242289382893760 is an abundant number, since it is smaller than the sum of its proper divisors (353273551856576).

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

242289382893760 is a wasteful number, since it uses less digits than its factorization.

242289382893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424333001 (or 24424332991 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 73.

The spelling of 242289382893760 in words is "two hundred forty-two trillion, two hundred eighty-nine billion, three hundred eighty-two million, eight hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 24424332953 48848665906 97697331812 122121664765 195394663624 244243329530 390789327248 488486659060 757154321543 781578654496 976973318120 1514308643086 1563157308992 1953946636240 3028617286172 3785771607715 3907893272480 6057234572344 7571543215430 7815786544960 12114469144688 15143086430860 24228938289376 30286172861720 48457876578752 60572345723440 121144691446880 242289382893760