Search a number
-
+
412120008840 = 233527112672817
BaseRepresentation
bin1011111111101000100…
…01000100100010001000
31110101202100111121112010
411333310101010202020
523223010210240330
6513154134015520
741526501163521
oct5776421044210
91411670447463
10412120008840
11149863001431
1267a561a75a0
132cb2a600ac7
1415d37add848
15aac09723b0
hex5ff4444888

412120008840 has 64 divisors (see below), whose sum is σ = 1240922338560. Its totient is φ = 109493130240.

The previous prime is 412120008821. The next prime is 412120008847. The reversal of 412120008840 is 48800021214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412120008798 and 412120008807.

It is not an unprimeable number, because it can be changed into a prime (412120008847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6303889 + ... + 6368928.

It is an arithmetic number, because the mean of its divisors is an integer number (19389411540).

Almost surely, 2412120008840 is an apocalyptic number.

412120008840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412120008840 is an abundant number, since it is smaller than the sum of its proper divisors (828802329720).

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

412120008840 is a wasteful number, since it uses less digits than its factorization.

412120008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673102 (or 12673098 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 412120008840 in words is "four hundred twelve billion, one hundred twenty million, eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 12672817 25345634 38018451 50691268 63364085 76036902 101382536 126728170 152073804 190092255 253456340 304147608 380184510 506912680 760369020 1520738040 3434333407 6868666814 10303000221 13737333628 17171667035 20606000442 27474667256 34343334070 41212000884 51515001105 68686668140 82424001768 103030002210 137373336280 206060004420 412120008840