Search a number
-
+
450435245511042 = 232112206999957181
BaseRepresentation
bin110011001101010110010000…
…0110011011001000110000010
32012001212012002201122020001100
41212122230200303121012002
5433014412340322323132
64233555032314115230
7163606605201225441
oct14632544063310602
92161765081566040
10450435245511042
111205825732a5200
124262945041bb16
1316444b2763312c
147d33279d8cd58
153711cc3a6137c
hex199ab20cd9182

450435245511042 has 72 divisors (see below), whose sum is σ = 1073249259280380. Its totient is φ = 136429555838400.

The previous prime is 450435245510989. The next prime is 450435245511047. The reversal of 450435245511042 is 240115542534054.

450435245511042 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 3 + 52 + 4 + 551 + 1 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448227373447161 + 2207872063881 = 21171381^2 + 1485891^2 .

It is not an unprimeable number, because it can be changed into a prime (450435245511047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45472309 + ... + 54484872.

Almost surely, 2450435245511042 is an apocalyptic number.

450435245511042 is an abundant number, since it is smaller than the sum of its proper divisors (622814013769338).

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

450435245511042 is a wasteful number, since it uses less digits than its factorization.

450435245511042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99959280 (or 99959266 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 450435245511042 in words is "four hundred fifty trillion, four hundred thirty-five billion, two hundred forty-five million, five hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2069 2178 4138 6207 12414 18621 22759 37242 45518 68277 136554 204831 250349 409662 500698 751047 1502094 2253141 4506282 99957181 199914362 299871543 599743086 899614629 1099528991 1799229258 2199057982 3298586973 6597173946 9895760919 12094818901 19791521838 24189637802 36284456703 72568913406 108853370109 206811407489 217706740218 413622814978 620434222467 1240868444934 1861302667401 2274925482379 3722605334802 4549850964758 6824776447137 13649552894274 20474329341411 25024180306169 40948658682822 50048360612338 75072540918507 150145081837014 225217622755521 450435245511042