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242316443880 = 2332572331157859
BaseRepresentation
bin1110000110101100101…
…1111000000011101000
3212011110110010202121200
43201223023320003220
512432231002201010
6303152454204200
723335553534340
oct3415313700350
9764413122550
10242316443880
1193847351875
123ab67353660
1319b09283494
14ba2a19bd20
1564834c9cc0
hex386b2f80e8

242316443880 has 768 divisors, whose sum is σ = 976770662400. Its totient is φ = 50883655680.

The previous prime is 242316443861. The next prime is 242316443899. The reversal of 242316443880 is 88344613242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242316443861) and next prime (242316443899).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282090891 + ... + 282091749.

It is an arithmetic number, because the mean of its divisors is an integer number (1271836800).

Almost surely, 2242316443880 is an apocalyptic number.

242316443880 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 242316443880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488385331200).

242316443880 is an abundant number, since it is smaller than the sum of its proper divisors (734454218520).

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

242316443880 is a wasteful number, since it uses less digits than its factorization.

242316443880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 242316443880 in words is "two hundred forty-two billion, three hundred sixteen million, four hundred forty-three thousand, eight hundred eighty".