Search a number
-
+
412040481272 = 237112915674159
BaseRepresentation
bin1011111111011111000…
…01101100100111111000
31110101112210212012012122
411333233201230213320
523222324330400042
6513142213300412
741524514205650
oct5775741544770
91411483765178
10412040481272
11149822123172
1267a33634708
132cb16ca7784
1415d2b31b360
15aab89b37d2
hex5fef86c9f8

412040481272 has 64 divisors (see below), whose sum is σ = 884502528000. Its totient is φ = 176277378816.

The previous prime is 412040481271. The next prime is 412040481301. The reversal of 412040481272 is 272184040214.

It is a super-2 number, since 2×4120404812722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412040481271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99069929 + ... + 99074087.

It is an arithmetic number, because the mean of its divisors is an integer number (13820352000).

Almost surely, 2412040481272 is an apocalyptic number.

It is an amenable number.

412040481272 is an abundant number, since it is smaller than the sum of its proper divisors (472462046728).

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

412040481272 is a wasteful number, since it uses less digits than its factorization.

412040481272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The spelling of 412040481272 in words is "four hundred twelve billion, forty million, four hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 1129 1567 2258 3134 4159 4516 6268 7903 8318 9032 10969 12536 15806 16636 21938 29113 31612 33272 43876 58226 63224 87752 116452 232904 1769143 3538286 4695511 6517153 7076572 9391022 12384001 13034306 14153144 18782044 24768002 26068612 32868577 37564088 45620071 49536004 52137224 65737154 91240142 99072008 131474308 182480284 262948616 364960568 7357865737 14715731474 29431462948 51505060159 58862925896 103010120318 206020240636 412040481272