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34442545144 = 2374871262927
BaseRepresentation
bin100000000100111011…
…111000011111111000
310021220100201120122011
4200010323320133320
51031014242421034
623453411135304
72326342542340
oct400473703770
9107810646564
1034442545144
1113674a11a47
1268128a4534
13332b8a3237
14194a479d20
15d68b68864
hex804ef87f8

34442545144 has 32 divisors (see below), whose sum is σ = 73957063680. Its totient is φ = 14730768864.

The previous prime is 34442545141. The next prime is 34442545147. The reversal of 34442545144 is 44154524443.

34442545144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34442545141) and next prime (34442545147).

It is a junction number, because it is equal to n+sod(n) for n = 34442545097 and 34442545106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442545141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604192 + ... + 658735.

It is an arithmetic number, because the mean of its divisors is an integer number (2311158240).

Almost surely, 234442545144 is an apocalyptic number.

It is an amenable number.

34442545144 is an abundant number, since it is smaller than the sum of its proper divisors (39514518536).

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

34442545144 is a wasteful number, since it uses less digits than its factorization.

34442545144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263427 (or 1263423 counting only the distinct ones).

The product of its digits is 614400, while the sum is 40.

The spelling of 34442545144 in words is "thirty-four billion, four hundred forty-two million, five hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 487 974 1948 3409 3896 6818 13636 27272 1262927 2525854 5051708 8840489 10103416 17680978 35361956 70723912 615045449 1230090898 2460181796 4305318143 4920363592 8610636286 17221272572 34442545144