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98342934144 = 2737213402043
BaseRepresentation
bin101101110010110110…
…0100001011010000000
3100101211200120200020020
41123211230201122000
53102401242343034
6113102250213440
710051013101500
oct1334554413200
9311750520206
1098342934144
1138786027a94
1217086a24280
1393734163c0
144a8cd53a00
152858a17249
hex16e5b21680

98342934144 has 192 divisors, whose sum is σ = 327247734240. Its totient is φ = 25936533504.

The previous prime is 98342934071. The next prime is 98342934149. The reversal of 98342934144 is 44143924389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×983429341442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98342934149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43587 + ... + 445629.

Almost surely, 298342934144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98342934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163623867120).

98342934144 is an abundant number, since it is smaller than the sum of its proper divisors (228904800096).

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

98342934144 is a wasteful number, since it uses less digits than its factorization.

98342934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402087 (or 402068 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 98342934144 in words is "ninety-eight billion, three hundred forty-two million, nine hundred thirty-four thousand, one hundred forty-four".