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34454111130 = 2335196716201
BaseRepresentation
bin100000000101101000…
…000000001110011010
310021221011111012012000
4200011220000032122
51031030223024010
623454503101430
72326543053405
oct400550001632
9107834435160
1034454111130
11136804a170a
126816741876
1333310c280a
14194bc0ad3c
15d69ba07c0
hex805a0039a

34454111130 has 64 divisors (see below), whose sum is σ = 96713308800. Its totient is φ = 8704195200.

The previous prime is 34454111129. The next prime is 34454111143. The reversal of 34454111130 is 3111145443.

34454111130 is a `hidden beast` number, since 3 + 4 + 4 + 541 + 1 + 113 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34454111094 and 34454111103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352971 + ... + 3363230.

It is an arithmetic number, because the mean of its divisors is an integer number (1511145450).

Almost surely, 234454111130 is an apocalyptic number.

34454111130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34454111130 is an abundant number, since it is smaller than the sum of its proper divisors (62259197670).

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

34454111130 is a wasteful number, since it uses less digits than its factorization.

34454111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716236 (or 6716230 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34454111130 its reverse (3111145443), we get a palindrome (37565256573).

The spelling of 34454111130 in words is "thirty-four billion, four hundred fifty-four million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 6716201 13432402 20148603 33581005 40297206 60445809 67162010 100743015 120891618 127607819 181337427 201486030 255215638 302229045 362674854 382823457 604458090 638039095 765646914 906687135 1148470371 1276078190 1813374270 1914117285 2296940742 3445411113 3828234570 5742351855 6890822226 11484703710 17227055565 34454111130