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540402020305 = 57192119335851
BaseRepresentation
bin1111101110100100111…
…10000110111111010001
31220122212112201222220221
413313102132012333101
532323220404122210
61052131322433041
754020444245120
oct7672236067721
91818775658827
10540402020305
11199201941324
1288897662781
133bc6259b374
141c226d5dab7
15e0cca7c1da
hex7dd2786fd1

540402020305 has 48 divisors (see below), whose sum is σ = 782859682944. Its totient is φ = 350754105600.

The previous prime is 540402020303. The next prime is 540402020359. The reversal of 540402020305 is 503020204045.

It is not a de Polignac number, because 540402020305 - 21 = 540402020303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540402020305.

It is not an unprimeable number, because it can be changed into a prime (540402020303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15055630 + ... + 15091480.

It is an arithmetic number, because the mean of its divisors is an integer number (16309576728).

Almost surely, 2540402020305 is an apocalyptic number.

It is an amenable number.

540402020305 is a deficient number, since it is larger than the sum of its proper divisors (242457662639).

540402020305 is a wasteful number, since it uses less digits than its factorization.

540402020305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37094 (or 37075 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 540402020305 in words is "five hundred forty billion, four hundred two million, twenty thousand, three hundred five".

Divisors: 1 5 7 19 35 95 133 361 665 1193 1805 2527 5965 8351 12635 22667 35851 41755 113335 158669 179255 250957 430673 681169 793345 1254785 2153365 3014711 3405845 4768183 12942211 15073555 23840915 42770243 64711055 90595477 213851215 299391701 452977385 812634617 1496958505 4063173085 5688442319 15440057723 28442211595 77200288615 108080404061 540402020305