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4120404694884 = 22341127712
BaseRepresentation
bin111011111101011011010…
…000100001011101100100
3112120220111002100221110000
4323331123100201131210
51020002042100214014
612432515432301300
7603455320013022
oct73753320413544
915526432327400
104120404694884
1113494aa038a75
1256668b241830
1323b724aa931a
1410360030d712
15722ab750509
hex3bf5b421764

4120404694884 has 45 divisors (see below), whose sum is σ = 10771647297411. Its totient is φ = 1373456052360.

The previous prime is 4120404694873. The next prime is 4120404694891. The reversal of 4120404694884 is 4884964040214.

The square root of 4120404694884 is 2029878.

It is a perfect power (a square), and thus also a powerful number.

4120404694884 is a `hidden beast` number, since 4 + 1 + 20 + 40 + 469 + 48 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4120404694884.

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 14 ways as a sum of consecutive naturals, for example, 36481419 + ... + 36594189.

Almost surely, 24120404694884 is an apocalyptic number.

4120404694884 is the 2029878-th square number.

It is an amenable number.

4120404694884 is an abundant number, since it is smaller than the sum of its proper divisors (6651242602527).

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

4120404694884 is an frugal number, since it uses more digits than its factorization.

4120404694884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225558 (or 112776 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4120404694884 in words is "four trillion, one hundred twenty billion, four hundred four million, six hundred ninety-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 112771 225542 338313 451084 676626 1014939 1353252 2029878 3044817 4059756 6089634 9134451 12179268 18268902 36537804 12717298441 25434596882 38151895323 50869193764 76303790646 114455685969 152607581292 228911371938 343367057907 457822743876 686734115814 1030101173721 1373468231628 2060202347442 4120404694884