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234134359029 = 33314733117981
BaseRepresentation
bin1101101000001101111…
…1101100101111110101
3211101100020002210021000
43122003133230233311
512314001343442104
6255320531513513
722626032133504
oct3320337545765
9741306083230
10234134359029
119032881837a
1239463158899
13191040b955c
14b49165683b
156155013639
hex36837ecbf5

234134359029 has 64 divisors (see below), whose sum is σ = 366798274560. Its totient is φ = 147385656000.

The previous prime is 234134359009. The next prime is 234134359033. The reversal of 234134359029 is 920953431432.

234134359029 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 34 + 3 + 590 + 29 = 666.

It is not a de Polignac number, because 234134359029 - 233 = 225544424437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234134359009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13012219 + ... + 13030199.

It is an arithmetic number, because the mean of its divisors is an integer number (5731223040).

Almost surely, 2234134359029 is an apocalyptic number.

It is an amenable number.

234134359029 is a deficient number, since it is larger than the sum of its proper divisors (132663915531).

234134359029 is a wasteful number, since it uses less digits than its factorization.

234134359029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 234134359029 in words is "two hundred thirty-four billion, one hundred thirty-four million, three hundred fifty-nine thousand, twenty-nine".

Divisors: 1 3 9 27 31 47 93 141 279 331 423 837 993 1269 1457 2979 4371 8937 10261 13113 15557 17981 30783 39339 46671 53943 92349 140013 161829 277047 420039 482267 485487 557411 845107 1446801 1672233 2535321 4340403 5016699 5951711 7605963 13021209 15050097 17855133 22817889 26198317 53565399 78594951 160696197 184503041 235784853 279730417 553509123 707354559 839191251 1660527369 2517573753 4981582107 7552721259 8671642927 26014928781 78044786343 234134359029