Search a number
-
+
350021044224 = 2113218989857
BaseRepresentation
bin1010001011111101110…
…00010100100000000000
31020110110120100100121200
411011332320110200000
521213320341403344
6424444125421200
734200563533455
oct5057670244000
91213416310550
10350021044224
11125496833175
1257a0540a800
1327012059127
1412d2658d82c
159188d0e069
hex517ee14800

350021044224 has 72 divisors (see below), whose sum is σ = 1010925090630. Its totient is φ = 116673675264.

The previous prime is 350021044223. The next prime is 350021044229. The reversal of 350021044224 is 422440120053.

350021044224 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 210 + 442 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 346647757824 + 3373286400 = 588768^2 + 58080^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (350021044223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9476497 + ... + 9513360.

Almost surely, 2350021044224 is an apocalyptic number.

It is an amenable number.

350021044224 is an abundant number, since it is smaller than the sum of its proper divisors (660904046406).

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

350021044224 is a wasteful number, since it uses less digits than its factorization.

350021044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18989885 (or 18989862 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 350021044224 its reverse (422440120053), we get a palindrome (772461164277).

The spelling of 350021044224 in words is "three hundred fifty billion, twenty-one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 18989857 37979714 56969571 75959428 113939142 151918856 170908713 227878284 303837712 341817426 455756568 607675424 683634852 911513136 1215350848 1367269704 1823026272 2430701696 2734539408 3646052544 4861403392 5469078816 7292105088 9722806784 10938157632 14584210176 19445613568 21876315264 29168420352 38891227136 43752630528 58336840704 87505261056 116673681408 175010522112 350021044224