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142323350101614 = 2321110110993647401
BaseRepresentation
bin100000010111000100111100…
…101110011101111001101110
3200122220222102222100111000200
4200113010330232131321232
5122123311210111222424
61222410235554534330
741656344202225503
oct4027047456357156
9618828388314020
10142323350101614
1141391aa2852270
1213b67275b973a6
13615505a553036
1427206b60a34aa
15116c254a918c9
hex81713cb9de6e

142323350101614 has 96 divisors (see below), whose sum is σ = 339762774300768. Its totient is φ = 42697324800000.

The previous prime is 142323350101561. The next prime is 142323350101637. The reversal of 142323350101614 is 416101053323241.

142323350101614 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 3 + 35 + 0 + 1 + 0 + 1 + 614 = 666.

It is a congruent number.

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, 219514314 + ... + 220161714.

It is an arithmetic number, because the mean of its divisors is an integer number (3539195565633).

Almost surely, 2142323350101614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142323350101614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169881387150384).

142323350101614 is an abundant number, since it is smaller than the sum of its proper divisors (197439424199154).

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

142323350101614 is a wasteful number, since it uses less digits than its factorization.

142323350101614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658514 (or 658511 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 142323350101614 in words is "one hundred forty-two trillion, three hundred twenty-three billion, three hundred fifty million, one hundred one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 9999 10993 19998 21986 32979 65958 98937 120923 197874 241846 362769 647401 725538 1088307 1110293 1294802 1942203 2176614 2220586 3330879 3884406 5826609 6661758 7121411 9992637 11653218 12213223 14242822 19985274 21364233 24426446 36639669 42728466 64092699 65387501 73279338 109919007 128185398 130775002 196162503 219838014 392325006 588487509 719262511 1176975018 1438525022 2157787533 4315575066 6473362599 7116879193 12946725198 14233758386 21350637579 42701275158 64051912737 78285671123 128103825474 156571342246 234857013369 469714026738 704571040107 718804798493 1409142080214 1437609596986 2156414395479 4312828790958 6469243186437 7906852783423 12938486372874 15813705566846 23720558350269 47441116700538 71161675050807 142323350101614