Search a number
-
+
335146443112 = 231323746114533
BaseRepresentation
bin1001110000010000100…
…10001110000101101000
31012001001221011022212101
410320020102032011220
520442334442134422
6413544131223144
733133145522455
oct4701022160550
91161057138771
10335146443112
1111a1534801a8
1254b53a47ab4
13257b14a7500
1412314c8c82c
158ab8019c27
hex4e0848e168

335146443112 has 96 divisors (see below), whose sum is σ = 700411191480. Its totient is φ = 150165550080.

The previous prime is 335146443083. The next prime is 335146443113. The reversal of 335146443112 is 211344641533.

It can be written as a sum of positive squares in 12 ways, for example, as 10125591876 + 325020851236 = 100626^2 + 570106^2 .

It is a super-2 number, since 2×3351464431122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (335146443113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23053798 + ... + 23068330.

Almost surely, 2335146443112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335146443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350205595740).

335146443112 is an abundant number, since it is smaller than the sum of its proper divisors (365264748368).

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

335146443112 is a wasteful number, since it uses less digits than its factorization.

335146443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15063 (or 15046 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The spelling of 335146443112 in words is "three hundred thirty-five billion, one hundred forty-six million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 461 481 676 922 962 1352 1844 1924 3688 3848 5993 6253 11986 12506 14533 17057 23972 25012 29066 34114 47944 50024 58132 68228 77909 116264 136456 155818 188929 221741 311636 377858 443482 537721 623272 755716 886964 1075442 1511432 1773928 2150884 2456077 2882633 4301768 4912154 5765266 6699713 6990373 9824308 11530532 13399426 13980746 19648616 23061064 26798852 27961492 53597704 55922984 87096269 90874849 174192538 181749698 247889381 348385076 363499396 495778762 696770152 726998792 991557524 1132251497 1983115048 2264502994 3222561953 4529005988 6445123906 9058011976 12890247812 25780495624 41893305389 83786610778 167573221556 335146443112