Search a number
-
+
1421146818 = 2327134320177
BaseRepresentation
bin101010010110100…
…1111101011000010
310200001010201221100
41110231033223002
510402303144233
6353004035230
750134356120
oct12455175302
93601121840
101421146818
1166a222703
12337b32b16
13198573ba0
14d6a58910
1584b70813
hex54b4fac2

1421146818 has 96 divisors (see below), whose sum is σ = 3878050176. Its totient is φ = 366073344.

The previous prime is 1421146799. The next prime is 1421146843. The reversal of 1421146818 is 8186411241.

1421146818 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60346 + ... + 80522.

It is an arithmetic number, because the mean of its divisors is an integer number (40396356).

Almost surely, 21421146818 is an apocalyptic number.

1421146818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421146818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939025088).

1421146818 is an abundant number, since it is smaller than the sum of its proper divisors (2456903358).

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

1421146818 is a wasteful number, since it uses less digits than its factorization.

1421146818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 20245 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1421146818 is about 37698.1009866545. The cubic root of 1421146818 is about 1124.2933683938.

The spelling of 1421146818 in words is "one billion, four hundred twenty-one million, one hundred forty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 774 819 903 1118 1638 1677 1806 2709 3354 3913 5031 5418 7826 10062 11739 20177 23478 35217 40354 60531 70434 121062 141239 181593 262301 282478 363186 423717 524602 786903 847434 867611 1271151 1573806 1735222 1836107 2360709 2542302 2602833 3672214 4721418 5205666 5508321 6073277 7808499 11016642 11278943 12146554 15616998 16524963 18219831 22557886 33049926 33836829 36439662 54659493 67673658 78952601 101510487 109318986 157905202 203020974 236857803 473715606 710573409 1421146818