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1141864163424 = 25331321602041
BaseRepresentation
bin10000100111011100011…
…010000110100001100000
311001011100110212121201000
4100213130122012201200
5122202014211212144
62232322023512000
7145332313150065
oct20473432064140
94034313777630
101141864163424
11400297608666
12165373bb8600
13838a61248ca
143d3a3490c6c
151ea80e67769
hex109dc686860

1141864163424 has 48 divisors (see below), whose sum is σ = 3330437145840. Its totient is φ = 380621387520.

The previous prime is 1141864163423. The next prime is 1141864163437. The reversal of 1141864163424 is 4243614681411.

1141864163424 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 6 + 4 + 1 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1141864163424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141864163423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660800157 + ... + 660801884.

It is an arithmetic number, because the mean of its divisors is an integer number (69384107205).

Almost surely, 21141864163424 is an apocalyptic number.

It is an amenable number.

1141864163424 is an abundant number, since it is smaller than the sum of its proper divisors (2188572982416).

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

1141864163424 is a wasteful number, since it uses less digits than its factorization.

1141864163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321602060 (or 1321602046 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 1141864163424 in words is "one trillion, one hundred forty-one billion, eight hundred sixty-four million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1321602041 2643204082 3964806123 5286408164 7929612246 10572816328 11894418369 15859224492 21145632656 23788836738 31718448984 35683255107 42291265312 47577673476 63436897968 71366510214 95155346952 126873795936 142733020428 190310693904 285466040856 380621387808 570932081712 1141864163424