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368034187144 = 2313172191036257
BaseRepresentation
bin1010101101100001000…
…11000000011110001000
31022011221221020211100011
411112300203000132020
522012213222442034
6441023401521304
735406141655231
oct5266043003610
91264857224304
10368034187144
1113209a782048
125b3b1aa3234
1328922c0b990
1413b54a3c088
159890411864
hex55b08c0788

368034187144 has 192 divisors, whose sum is σ = 839182780800. Its totient is φ = 149961424896.

The previous prime is 368034187141. The next prime is 368034187159. The reversal of 368034187144 is 441781430863.

It is not an unprimeable number, because it can be changed into a prime (368034187141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58816464 + ... + 58822720.

It is an arithmetic number, because the mean of its divisors is an integer number (4370743650).

Almost surely, 2368034187144 is an apocalyptic number.

368034187144 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 368034187144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419591390400).

368034187144 is an abundant number, since it is smaller than the sum of its proper divisors (471148593656).

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

368034187144 is a wasteful number, since it uses less digits than its factorization.

368034187144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 368034187144 in words is "three hundred sixty-eight billion, thirty-four million, one hundred eighty-seven thousand, one hundred forty-four".