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34144152999 = 3119929104207
BaseRepresentation
bin11111110011001001…
…100110110110100111
310021010120020200120020
4133303021212312213
51024411400343444
623404031410223
72316060340365
oct376311466647
9107116220506
1034144152999
1113531536570
12674a983973
1332b1b19238
14191c9a4635
15d4c876119
hex7f3266da7

34144152999 has 16 divisors (see below), whose sum is σ = 49669701120. Its totient is φ = 20691143360.

The previous prime is 34144152997. The next prime is 34144153019. The reversal of 34144152999 is 99925144143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34144152999 - 21 = 34144152997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144152997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275554 + ... + 379760.

It is an arithmetic number, because the mean of its divisors is an integer number (3104356320).

Almost surely, 234144152999 is an apocalyptic number.

34144152999 is a deficient number, since it is larger than the sum of its proper divisors (15525548121).

34144152999 is a wasteful number, since it uses less digits than its factorization.

34144152999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114150.

The product of its digits is 1399680, while the sum is 51.

The spelling of 34144152999 in words is "thirty-four billion, one hundred forty-four million, one hundred fifty-two thousand, nine hundred ninety-nine".

Divisors: 1 3 11 33 9929 29787 104207 109219 312621 327657 1146277 3438831 1034671303 3104013909 11381384333 34144152999