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233314743141 = 3323796537283
BaseRepresentation
bin1101100101001010100…
…1000111001101100101
3211022020002211222122000
43121102221013031211
512310312033240031
6255103332355513
722566520411014
oct3312251071545
9738202758560
10233314743141
118aa480a9877
1239274775b99
131900335903c
14b414862a7b
1561080b43e6
hex3652a47365

233314743141 has 64 divisors (see below), whose sum is σ = 365854924800. Its totient is φ = 146652023232.

The previous prime is 233314743121. The next prime is 233314743149. The reversal of 233314743141 is 141347413332.

233314743141 is a `hidden beast` number, since 2 + 3 + 331 + 4 + 7 + 4 + 314 + 1 = 666.

233314743141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233314743141 - 221 = 233312645989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233314743096 and 233314743105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233314743149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32031886 + ... + 32039168.

It is an arithmetic number, because the mean of its divisors is an integer number (5716483200).

Almost surely, 2233314743141 is an apocalyptic number.

It is an amenable number.

233314743141 is a deficient number, since it is larger than the sum of its proper divisors (132540181659).

233314743141 is a wasteful number, since it uses less digits than its factorization.

233314743141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8041 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 233314743141 in words is "two hundred thirty-three billion, three hundred fourteen million, seven hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 69 79 207 237 621 653 711 1817 1959 2133 5451 5877 7283 15019 16353 17631 21849 45057 49059 51587 65547 135171 154761 167509 196641 405513 464283 502527 575357 1186501 1392849 1507581 1726071 3559503 4522743 4755799 5178213 10678509 13233211 14267397 15534639 32035527 39699633 42802191 109383377 119098899 128406573 328150131 357296697 375708121 984450393 1127124363 2953351179 3381373089 8641286783 10144119267 25923860349 77771581047 233314743141