Search a number
-
+
411212012320242 = 232727139312025319
BaseRepresentation
bin101110101111111101100000…
…1111010111111010111110010
31222220222111002011111120111100
41131133323001322333113302
5412344244200123221432
64014324105054225230
7152421042002121540
oct13537730172772762
91886874064446440
10411212012320242
1110a0300427527a1
123a153786ab5216
131485b18484a473
147378aa63a8d90
15328187c61307c
hex175fec1ebf5f2

411212012320242 has 48 divisors (see below), whose sum is σ = 1018243105176960. Its totient is φ = 117488703695616.

The previous prime is 411212012320181. The next prime is 411212012320259. The reversal of 411212012320242 is 242023210212114.

411212012320242 is a `hidden beast` number, since 4 + 112 + 1 + 201 + 2 + 320 + 24 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28182859 + ... + 40208177.

It is an arithmetic number, because the mean of its divisors is an integer number (21213398024520).

Almost surely, 2411212012320242 is an apocalyptic number.

411212012320242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

411212012320242 is an abundant number, since it is smaller than the sum of its proper divisors (607031092856718).

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

411212012320242 is a wasteful number, since it uses less digits than its factorization.

411212012320242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296727 (or 12296724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 411212012320242 its reverse (242023210212114), we get a palindrome (653235222532356).

The spelling of 411212012320242 in words is "four hundred eleven trillion, two hundred twelve billion, twelve million, three hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271393 542786 814179 1628358 1899751 2442537 3799502 4885074 5699253 11398506 12025319 17097759 24050638 34195518 36075957 72151914 84177233 108227871 168354466 216455742 252531699 505063398 757595097 1515190194 3263587399367 6527174798734 9790762198101 19581524396202 22845111795569 29372286594303 45690223591138 58744573188606 68535335386707 137070670773414 205606006160121 411212012320242