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4054441356 = 22327113142381
BaseRepresentation
bin1111000110101001…
…1101110110001100
3101110120010221221200
43301222131312030
531300414110411
61510152425500
7202321116510
oct36152356614
911416127850
104054441356
1117a0698889
129519a8290
134c7ca3534
142a6686140
1518ae2ae56
hexf1a9dd8c

4054441356 has 72 divisors (see below), whose sum is σ = 11816566944. Its totient is φ = 1148152320.

The previous prime is 4054441351. The next prime is 4054441393. The reversal of 4054441356 is 6531444504.

4054441356 is a `hidden beast` number, since 40 + 544 + 41 + 35 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4054441356.

It is not an unprimeable number, because it can be changed into a prime (4054441351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42715 + ... + 99666.

Almost surely, 24054441356 is an apocalyptic number.

It is an amenable number.

4054441356 is an abundant number, since it is smaller than the sum of its proper divisors (7762125588).

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

4054441356 is a wasteful number, since it uses less digits than its factorization.

4054441356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142511 (or 142506 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4054441356 is about 63674.4953336891. The cubic root of 4054441356 is about 1594.5703131351.

The spelling of 4054441356 in words is "four billion, fifty-four million, four hundred forty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 142381 284762 427143 569524 854286 996667 1281429 1708572 1993334 2562858 2990001 3986668 5125716 5980002 8970003 11960004 16089053 17940006 32178106 35880012 48267159 64356212 96534318 112623371 144801477 193068636 225246742 289602954 337870113 450493484 579205908 675740226 1013610339 1351480452 2027220678 4054441356