Search a number
-
+
34440100140 = 22352919793161
BaseRepresentation
bin100000000100110010…
…100011100100101100
310021220012010100201110
4200010302203210230
51031013131201030
623453242512020
72326313010135
oct400462434454
9107805110643
1034440100140
11136735a1a86
126811b05610
13332b2283a4
14194a000c8c
15d688341b0
hex804ca392c

34440100140 has 48 divisors (see below), whose sum is σ = 99757536480. Its totient is φ = 8867335680.

The previous prime is 34440100139. The next prime is 34440100141. The reversal of 34440100140 is 4100104443.

It is an interprime number because it is at equal distance from previous prime (34440100139) and next prime (34440100141).

It is a super-2 number, since 2×344401001402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34440100141) by changing a digit.

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, 9894841 + ... + 9898320.

It is an arithmetic number, because the mean of its divisors is an integer number (2078282010).

Almost surely, 234440100140 is an apocalyptic number.

34440100140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34440100140 is an abundant number, since it is smaller than the sum of its proper divisors (65317436340).

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

34440100140 is a wasteful number, since it uses less digits than its factorization.

34440100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19793202 (or 19793200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34440100140 its reverse (4100104443), we get a palindrome (38540204583).

The spelling of 34440100140 in words is "thirty-four billion, four hundred forty million, one hundred 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 19793161 39586322 59379483 79172644 98965805 118758966 197931610 237517932 296897415 395863220 574001669 593794830 1148003338 1187589660 1722005007 2296006676 2870008345 3444010014 5740016690 6888020028 8610025035 11480033380 17220050070 34440100140