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144142222312 = 231123122358231
BaseRepresentation
bin1000011000111110001…
…0111100001111101000
3111210001112000120112101
42012033202330033220
54330200402103222
6150115032023144
713261656450124
oct2061742741750
9453045016471
10144142222312
1156148588070
1223b28b31ab4
1310791abb40a
146d95804584
153b396db927
hex218f8bc3e8

144142222312 has 64 divisors (see below), whose sum is σ = 307912181760. Its totient is φ = 62618212800.

The previous prime is 144142222309. The next prime is 144142222321. The reversal of 144142222312 is 213222241441.

144142222312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2446237 + ... + 2504467.

It is an arithmetic number, because the mean of its divisors is an integer number (4811127840).

Almost surely, 2144142222312 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 144142222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153956090880).

144142222312 is an abundant number, since it is smaller than the sum of its proper divisors (163769959448).

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

144142222312 is a wasteful number, since it uses less digits than its factorization.

144142222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59494 (or 59490 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 144142222312 its reverse (213222241441), we get a palindrome (357364463753).

The spelling of 144142222312 in words is "one hundred forty-four billion, one hundred forty-two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1223 2024 2446 4892 9784 13453 26906 28129 53812 56258 58231 107624 112516 116462 225032 232924 309419 465848 618838 640541 1237676 1281082 1339313 2475352 2562164 2678626 5124328 5357252 10714504 14732443 29464886 58929772 71216513 117859544 142433026 284866052 569732104 783381643 1566763286 1637979799 3133526572 3275959598 6267053144 6551919196 13103838392 18017777789 36035555578 72071111156 144142222312