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34278108144 = 2437232316221
BaseRepresentation
bin11111111011001000…
…100110101111110000
310021110220022022110220
4133323020212233300
51030200143430034
623425214453040
72322305053230
oct377310465760
9107426268426
1034278108144
11135a0109aa5
126787804180
1333037bb037
1419326b3cc0
15d594d6749
hex7fb226bf0

34278108144 has 240 divisors, whose sum is σ = 109223675904. Its totient is φ = 9064281600.

The previous prime is 34278108119. The next prime is 34278108217. The reversal of 34278108144 is 44180187243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34278108096 and 34278108105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5506954 + ... + 5513174.

Almost surely, 234278108144 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 34278108144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54611837952).

34278108144 is an abundant number, since it is smaller than the sum of its proper divisors (74945567760).

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

34278108144 is a wasteful number, since it uses less digits than its factorization.

34278108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 34278108144 in words is "thirty-four billion, two hundred seventy-eight million, one hundred eight thousand, one hundred forty-four".