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141401300224 = 281957750383
BaseRepresentation
bin1000001110110000101…
…1001001110100000000
3111111222111111022021111
42003230023021310000
54304042213101344
6144543040333104
713134025135462
oct2035413116400
9444874438244
10141401300224
1154a713907a8
12234a3014194
1310445ca7522
146bb579c132
153a28c71834
hex20ec2c9d00

141401300224 has 72 divisors (see below), whose sum is σ = 297626349440. Its totient is φ = 66862153728.

The previous prime is 141401300207. The next prime is 141401300251. The reversal of 141401300224 is 422003104141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141401300195 and 141401300204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2781337 + ... + 2831719.

Almost surely, 2141401300224 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 141401300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148813174720).

141401300224 is an abundant number, since it is smaller than the sum of its proper divisors (156225049216).

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

141401300224 is an equidigital number, since it uses as much as digits as its factorization.

141401300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50995 (or 50981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 141401300224 its reverse (422003104141), we get a palindrome (563404404365).

The spelling of 141401300224 in words is "one hundred forty-one billion, four hundred one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 577 608 1154 1216 2308 2432 4616 4864 9232 10963 18464 21926 36928 43852 50383 73856 87704 100766 147712 175408 201532 350816 403064 701632 806128 957277 1403264 1612256 1914554 2806528 3224512 3829108 6449024 7658216 12898048 15316432 29070991 30632864 58141982 61265728 116283964 122531456 232567928 245062912 465135856 552348829 930271712 1104697658 1860543424 2209395316 3721086848 4418790632 7442173696 8837581264 17675162528 35350325056 70700650112 141401300224