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342143241312 = 25331631118217
BaseRepresentation
bin1001111101010010101…
…00111000110001100000
31012201010112212111121110
410332221110320301200
521101202132210222
6421102313023320
733501425365155
oct4765124706140
91181115774543
10342143241312
11122113a38254
12563870b4b40
1326357c2bca2
14127ba21422c
158d7740030c
hex4fa9538c60

342143241312 has 96 divisors (see below), whose sum is σ = 927295617024. Its totient is φ = 110345241600.

The previous prime is 342143241299. The next prime is 342143241371. The reversal of 342143241312 is 213142341243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342143241312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18772428 + ... + 18790644.

It is an arithmetic number, because the mean of its divisors is an integer number (9659329344).

Almost surely, 2342143241312 is an apocalyptic number.

342143241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342143241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463647808512).

342143241312 is an abundant number, since it is smaller than the sum of its proper divisors (585152375712).

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

342143241312 is a wasteful number, since it uses less digits than its factorization.

342143241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24572 (or 24564 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 342143241312 its reverse (213142341243), we get a palindrome (555285582555).

The spelling of 342143241312 in words is "three hundred forty-two billion, one hundred forty-three million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 6311 12622 18217 18933 25244 36434 37866 50488 54651 72868 75732 100976 109302 145736 151464 195641 201952 218604 291472 302928 391282 437208 564727 582944 586923 605856 782564 874416 1129454 1173846 1565128 1694181 1748832 2258908 2347692 3130256 3388362 4517816 4695384 6260512 6776724 9035632 9390768 13553448 18071264 18781536 27106896 54213792 114967487 229934974 344902461 459869948 689804922 919739896 1379609844 1839479792 2759219688 3563992097 3678959584 5518439376 7127984194 10691976291 11036878752 14255968388 21383952582 28511936776 42767905164 57023873552 85535810328 114047747104 171071620656 342143241312