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2314232302242 = 2372193111332127
BaseRepresentation
bin100001101011010010111…
…111101000101010100010
322012020102211100202001110
4201223102333220222202
5300404021432132432
64531051005444150
7326124556001100
oct41532277505242
98166384322043
102314232302242
11812507891443
1231461b870656
1313a300b58ca3
148001bc98c70
15402e9da9dcc
hex21ad2fe8aa2

2314232302242 has 96 divisors (see below), whose sum is σ = 5685735444480. Its totient is φ = 624394098720.

The previous prime is 2314232302229. The next prime is 2314232302267. The reversal of 2314232302242 is 2422032324132.

2314232302242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23142323022422 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071183 + ... + 2403309.

It is an arithmetic number, because the mean of its divisors is an integer number (59226410880).

Almost surely, 22314232302242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314232302242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842867722240).

2314232302242 is an abundant number, since it is smaller than the sum of its proper divisors (3371503142238).

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

2314232302242 is a wasteful number, since it uses less digits than its factorization.

2314232302242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332476 (or 1332469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2314232302242 its reverse (2422032324132), we get a palindrome (4736264626374).

The spelling of 2314232302242 in words is "two trillion, three hundred fourteen billion, two hundred thirty-two million, three hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 311 399 622 798 931 933 1862 1866 2177 2793 4354 5586 5909 6531 11818 13062 15239 17727 30478 35454 41363 45717 82726 91434 124089 248178 289541 579082 868623 1332127 1737246 2664254 3996381 7992762 9324889 18649778 25310413 27974667 50620826 55949334 65274223 75931239 130548446 151862478 177172891 195822669 354345782 391645338 414291497 531518673 828582994 1063037346 1240210237 1242874491 2480420474 2485748982 2900040479 3720630711 5800080958 7441261422 7871538443 8700121437 15743076886 17400242874 20300283353 23614615329 40600566706 47229230658 55100769101 60900850059 110201538202 121801700118 165302307303 330604614606 385705383707 771410767414 1157116151121 2314232302242