Search a number
-
+
402042204216 = 23331999353299
BaseRepresentation
bin1011101100110111001…
…01010011000000111000
31102102202000100002112000
411312123211103000320
523041340301013331
6504410131421000
741021660231112
oct5663345230070
91372660302460
10402042204216
11145561385684
1265b03154760
132bbb27715c3
141565d4c63b2
15a6d0d460e6
hex5d9b953038

402042204216 has 64 divisors (see below), whose sum is σ = 1122396000000. Its totient is φ = 133340616288.

The previous prime is 402042204181. The next prime is 402042204217. The reversal of 402042204216 is 612402240204.

402042204216 is a `hidden beast` number, since 4 + 0 + 20 + 422 + 0 + 4 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 402042204216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402042204217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4633666 + ... + 4719633.

It is an arithmetic number, because the mean of its divisors is an integer number (17537437500).

Almost surely, 2402042204216 is an apocalyptic number.

It is an amenable number.

402042204216 is an abundant number, since it is smaller than the sum of its proper divisors (720353795784).

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

402042204216 is a wasteful number, since it uses less digits than its factorization.

402042204216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9353513 (or 9353503 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 402042204216 in words is "four hundred two billion, forty-two million, two hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 10746 14328 21492 42984 9353299 18706598 28059897 37413196 56119794 74826392 84179691 112239588 168359382 224479176 252539073 336718764 505078146 673437528 1010156292 1861306501 2020312584 3722613002 5583919503 7445226004 11167839006 14890452008 16751758509 22335678012 33503517018 44671356024 50255275527 67007034036 100510551054 134014068072 201021102108 402042204216