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34440440144 = 2411269727451
BaseRepresentation
bin100000000100110011…
…110110100101010000
310021220012202122010012
4200010303312211100
51031013223041034
623453254054052
72326315624325
oct400463664520
9107805678105
1034440440144
1113673804480
12681204a328
13332b317086
14194a08cb4c
15d6889ecce
hex804cf6950

34440440144 has 40 divisors (see below), whose sum is σ = 73065278880. Its totient is φ = 15596528000.

The previous prime is 34440440141. The next prime is 34440440147. The reversal of 34440440144 is 44104404443.

It is an interprime number because it is at equal distance from previous prime (34440440141) and next prime (34440440147).

It is a super-2 number, since 2×344404401442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34440440144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440440141) 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, 316382 + ... + 411069.

It is an arithmetic number, because the mean of its divisors is an integer number (1826631972).

Almost surely, 234440440144 is an apocalyptic number.

It is an amenable number.

34440440144 is an abundant number, since it is smaller than the sum of its proper divisors (38624838736).

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

34440440144 is a wasteful number, since it uses less digits than its factorization.

34440440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727739 (or 727733 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 34440440144 its reverse (44104404443), we get a palindrome (78544844587).

The spelling of 34440440144 in words is "thirty-four billion, four hundred forty million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2959 4304 5918 11836 23672 47344 727451 1454902 2909804 5819608 8001961 11639216 16003922 32007844 64015688 128031376 195684319 391368638 782737276 1565474552 2152527509 3130949104 4305055018 8610110036 17220220072 34440440144