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34453411140 = 22352919800811
BaseRepresentation
bin100000000101100101…
…010101010101000100
310021221010011121222110
4200011211111111010
51031030033124030
623454440101020
72326534106541
oct400545252504
9107833147873
1034453411140
1113680063805
126816464770
133330c09015
14194baa7bc8
15d69ab31b0
hex805955544

34453411140 has 48 divisors (see below), whose sum is σ = 99796092480. Its totient is φ = 8870762880.

The previous prime is 34453411127. The next prime is 34453411171. The reversal of 34453411140 is 4111435443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34453411098 and 34453411107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9898666 + ... + 9902145.

It is an arithmetic number, because the mean of its divisors is an integer number (2079085260).

Almost surely, 234453411140 is an apocalyptic number.

34453411140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34453411140 is an abundant number, since it is smaller than the sum of its proper divisors (65342681340).

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

34453411140 is a wasteful number, since it uses less digits than its factorization.

34453411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19800852 (or 19800850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34453411140 its reverse (4111435443), we get a palindrome (38564846583).

The spelling of 34453411140 in words is "thirty-four billion, four hundred fifty-three million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 19800811 39601622 59402433 79203244 99004055 118804866 198008110 237609732 297012165 396016220 574223519 594024330 1148447038 1188048660 1722670557 2296894076 2871117595 3445341114 5742235190 6890682228 8613352785 11484470380 17226705570 34453411140