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4113230402016 = 253229492484483
BaseRepresentation
bin111011110110101111101…
…000110001000111100000
3112120012222002200002210100
4323312233220301013200
51014342343440331031
612425331510302400
7603112453355211
oct73665750610740
915505862602710
104113230402016
11134645836a60a
12565208657a00
1323ab5064a108
1410311d583408
1571edb9a8de6
hex3bdafa311e0

4113230402016 has 72 divisors (see below), whose sum is σ = 12100343771880. Its totient is φ = 1323798287616.

The previous prime is 4113230402009. The next prime is 4113230402033. The reversal of 4113230402016 is 6102040323114.

It is a happy number.

4113230402016 is a `hidden beast` number, since 4 + 1 + 13 + 230 + 402 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246233890 + ... + 246250593.

It is an arithmetic number, because the mean of its divisors is an integer number (168060330165).

Almost surely, 24113230402016 is an apocalyptic number.

It is an amenable number.

4113230402016 is an abundant number, since it is smaller than the sum of its proper divisors (7987113369864).

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

4113230402016 is a wasteful number, since it uses less digits than its factorization.

4113230402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492484528 (or 492484517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 4113230402016 in words is "four trillion, one hundred thirteen billion, two hundred thirty million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 492484483 984968966 1477453449 1969937932 2954906898 3939875864 4432360347 5909813796 7879751728 8864720694 11819627592 14282050007 15759503456 17729441388 23639255184 28564100014 35458882776 42846150021 47278510368 57128200028 70917765552 85692300042 114256400056 128538450063 141835531104 171384600084 228512800112 257076900126 342769200168 457025600224 514153800252 685538400336 1028307600504 1371076800672 2056615201008 4113230402016