Search a number
-
+
401434430031312 = 2438363217292319
BaseRepresentation
bin101101101000110100011110…
…0100110100100010111010000
31221122100202102122102201111120
41123101220330212210113100
5410104100203042000222
63541440233052442240
7150361452255005406
oct13321507446442720
91848322378381446
10401434430031312
11106a00427419017
1239034822479380
13142cc148266002
14711b75c793476
15316236dc8415c
hex16d1a3c9a45d0

401434430031312 has 20 divisors (see below), whose sum is σ = 1037038944247680. Its totient is φ = 133811476677088.

The previous prime is 401434430031293. The next prime is 401434430031343. The reversal of 401434430031312 is 213130034434104.

It is a super-2 number, since 2×4014344300313122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 4181608646112 + ... + 4181608646207.

It is an arithmetic number, because the mean of its divisors is an integer number (51851947212384).

Almost surely, 2401434430031312 is an apocalyptic number.

It is an amenable number.

401434430031312 is an abundant number, since it is smaller than the sum of its proper divisors (635604514216368).

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

401434430031312 is a wasteful number, since it uses less digits than its factorization.

401434430031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363217292330 (or 8363217292324 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 401434430031312 its reverse (213130034434104), we get a palindrome (614564464465416).

The spelling of 401434430031312 in words is "four hundred one trillion, four hundred thirty-four billion, four hundred thirty million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 8363217292319 16726434584638 25089651876957 33452869169276 50179303753914 66905738338552 100358607507828 133811476677104 200717215015656 401434430031312