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242484160000 = 2954757763
BaseRepresentation
bin1110000111010100101…
…1101010011000000000
3212011220010201121212211
43201311023222120000
512433101421110000
6303221245031504
723342661231535
oct3416513523000
9764803647784
10242484160000
1193922a94435
123abb3555594
1319b34c460a4
14ba44578d8c
1564930a87ba
hex38752ea600

242484160000 has 100 divisors (see below), whose sum is σ = 605425398732. Its totient is φ = 96993536000.

The previous prime is 242484159961. The next prime is 242484160007. The reversal of 242484160000 is 61484242.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242484160007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58882 + ... + 698881.

Almost surely, 2242484160000 is an apocalyptic number.

242484160000 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 242484160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302712699366).

242484160000 is an abundant number, since it is smaller than the sum of its proper divisors (362941238732).

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

242484160000 is an frugal number, since it uses more digits than its factorization.

242484160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757801 (or 757770 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 242484160000 in words is "two hundred forty-two billion, four hundred eighty-four million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 757763 1515526 3031052 3788815 6062104 7577630 12124208 15155260 18944075 24248416 30310520 37888150 48496832 60621040 75776300 94720375 96993664 121242080 151552600 189440750 193987328 242484160 303105200 378881500 387974656 473601875 484968320 606210400 757763000 947203750 969936640 1212420800 1515526000 1894407500 1939873280 2424841600 3031052000 3788815000 4849683200 6062104000 7577630000 9699366400 12124208000 15155260000 24248416000 30310520000 48496832000 60621040000 121242080000 242484160000