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342125422144 = 261117161917657
BaseRepresentation
bin1001111101010000100…
…00111010011001000000
31012201002022100012022021
410332220100322121000
521101133102002034
6421100435051224
733501121051222
oct4765020723100
91181068305267
10342125422144
11122104977470
1256381140b14
13263543303bc
14127b7ad6412
158d75a806b4
hex4fa843a640

342125422144 has 112 divisors (see below), whose sum is σ = 784718694720. Its totient is φ = 146265128960.

The previous prime is 342125422129. The next prime is 342125422159. The reversal of 342125422144 is 441224521243.

It is an interprime number because it is at equal distance from previous prime (342125422129) and next prime (342125422159).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19367364 + ... + 19385020.

Almost surely, 2342125422144 is an apocalyptic number.

342125422144 is a gapful number since it is divisible by the number (34) 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 342125422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392359347360).

342125422144 is an abundant number, since it is smaller than the sum of its proper divisors (442593272576).

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

342125422144 is a wasteful number, since it uses less digits than its factorization.

342125422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19316 (or 19306 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

Adding to 342125422144 its reverse (441224521243), we get a palindrome (783349943387).

Subtracting 342125422144 from its reverse (441224521243), we obtain a palindrome (99099099099).

The spelling of 342125422144 in words is "three hundred forty-two billion, one hundred twenty-five million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 1619 2992 3238 5984 6476 11968 12952 17657 17809 25904 27523 35314 35618 51808 55046 70628 71236 103616 110092 141256 142472 194227 220184 282512 284944 300169 302753 388454 440368 565024 569888 600338 605506 776908 880736 1130048 1139776 1200676 1211012 1553816 1761472 2401352 2422024 3107632 3301859 4802704 4844048 6215264 6603718 9605408 9688096 12430528 13207436 19210816 19376192 26414872 28586683 52829744 57173366 105659488 114346732 211318976 228693464 314453513 457386928 485973611 628907026 914773856 971947222 1257814052 1829547712 1943894444 2515628104 3887788888 5031256208 5345709721 7775577776 10062512416 10691419442 15551155552 20125024832 21382838884 31102311104 42765677768 85531355536 171062711072 342125422144