Search a number
-
+
146402271144 = 233217891136593
BaseRepresentation
bin1000100001011001000…
…0010101111110101000
3111222220000200221200200
42020112100111332220
54344312440134034
6151131204432200
713401661525563
oct2102620257650
9458800627620
10146402271144
11570a82a1218
12244599a8660
1310a620b600c
14712ba334da
153c1cd1aa99
hex2216415fa8

146402271144 has 48 divisors (see below), whose sum is σ = 396728135700. Its totient is φ = 48773435904.

The previous prime is 146402271139. The next prime is 146402271161. The reversal of 146402271144 is 441172204641.

146402271144 is a `hidden beast` number, since 1 + 4 + 640 + 2 + 2 + 7 + 1 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134074610244 + 12327660900 = 366162^2 + 111030^2 .

It is a super-2 number, since 2×1464022711442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146402271099 and 146402271108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439489 + ... + 697104.

Almost surely, 2146402271144 is an apocalyptic number.

It is an amenable number.

146402271144 is an abundant number, since it is smaller than the sum of its proper divisors (250325864556).

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

146402271144 is a wasteful number, since it uses less digits than its factorization.

146402271144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138394 (or 1138387 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 146402271144 its reverse (441172204641), we get a palindrome (587574475785).

The spelling of 146402271144 in words is "one hundred forty-six billion, four hundred two million, two hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1789 3578 5367 7156 10734 14312 16101 21468 32202 42936 64404 128808 1136593 2273186 3409779 4546372 6819558 9092744 10229337 13639116 20458674 27278232 40917348 81834696 2033364877 4066729754 6100094631 8133459508 12200189262 16266919016 18300283893 24400378524 36600567786 48800757048 73201135572 146402271144