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142230000032241 = 31121133467417539
BaseRepresentation
bin100000010101101110000000…
…101000001101100111110001
3200122121001111020201121122220
4200111232000220031213301
5122120244020002012431
61222255320542551253
741646530663563032
oct4025560050154761
9618531436647586
10142230000032241
114135644a0a9500
1213b51163298529
13614930166a8b4
142719d7c2b4a89
151169ade571b96
hex815b80a0d9f1

142230000032241 has 24 divisors (see below), whose sum is σ = 210291938965920. Its totient is φ = 85437168136320.

The previous prime is 142230000032231. The next prime is 142230000032269.

It is a happy number.

142230000032241 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-142230000032241 is a prime.

It is a super-2 number, since 2×1422300000322412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142230000032231) 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, 1733667751 + ... + 1733749788.

It is an arithmetic number, because the mean of its divisors is an integer number (8762164123580).

Almost surely, 2142230000032241 is an apocalyptic number.

142230000032241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142230000032241 is a deficient number, since it is larger than the sum of its proper divisors (68061938933679).

142230000032241 is a wasteful number, since it uses less digits than its factorization.

142230000032241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467417677 (or 3467417666 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1422300000 and 32241, that added together give a palindrome (1422332241).

The spelling of 142230000032241 in words is "one hundred forty-two trillion, two hundred thirty billion, thirty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 113 121 339 363 1243 3729 13673 41019 3467417539 10402252617 38141592929 114424778787 391818181907 419557522219 1175454545721 1258672566657 4310000000977 12930000002931 47410000010747 142230000032241