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141410126430 = 2345174580403
BaseRepresentation
bin1000001110110010110…
…0110100101001011110
3111112000010002201120000
42003230230310221132
54304101443021210
6144543553435130
713134163146036
oct2035454645136
9445003081500
10141410126430
1154a76369a91
12234a5b6baa6
1310447a77a31
146bb6a188c6
153a29916ac0
hex20ecb34a5e

141410126430 has 40 divisors (see below), whose sum is σ = 380236119912. Its totient is φ = 37709366832.

The previous prime is 141410126419. The next prime is 141410126443. The reversal of 141410126430 is 34621014141.

141410126430 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 0 + 12 + 643 + 0 = 666.

141410126430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 141410126394 and 141410126403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87289392 + ... + 87291011.

Almost surely, 2141410126430 is an apocalyptic number.

141410126430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141410126430 is an abundant number, since it is smaller than the sum of its proper divisors (238825993482).

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

141410126430 is a wasteful number, since it uses less digits than its factorization.

141410126430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174580422 (or 174580413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 141410126430 in words is "one hundred forty-one billion, four hundred ten million, one hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 174580403 349160806 523741209 872902015 1047482418 1571223627 1745804030 2618706045 3142447254 4713670881 5237412090 7856118135 9427341762 14141012643 15712236270 23568354405 28282025286 47136708810 70705063215 141410126430