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142323346133136 = 2433747064598589
BaseRepresentation
bin100000010111000100111100…
…011111010101000010010000
3200122220222102200212212022000
4200113010330133111002100
5122123311203102230021
61222410235333514000
741656344123416550
oct4027047437250220
9618828380785260
10142323346133136
1141391aa0591733
1213b672747a2900
13615505979391c
1427206b574d160
15116c25455ab26
hex81713c7d5090

142323346133136 has 80 divisors (see below), whose sum is σ = 466880818012800. Its totient is φ = 40663813180032.

The previous prime is 142323346133081. The next prime is 142323346133153. The reversal of 142323346133136 is 631331643323241.

142323346133136 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 23 + 3 + 4 + 613 + 3 + 1 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142323346133091 and 142323346133100.

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, 23532296271 + ... + 23532302318.

It is an arithmetic number, because the mean of its divisors is an integer number (5836010225160).

Almost surely, 2142323346133136 is an apocalyptic number.

142323346133136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142323346133136 is an abundant number, since it is smaller than the sum of its proper divisors (324557471879664).

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

142323346133136 is a wasteful number, since it uses less digits than its factorization.

142323346133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47064598613 (or 47064598601 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

Adding to 142323346133136 its reverse (631331643323241), we get a palindrome (773654989456377).

The spelling of 142323346133136 in words is "one hundred forty-two trillion, three hundred twenty-three billion, three hundred forty-six million, one hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 47064598589 94129197178 141193795767 188258394356 282387591534 329452190123 376516788712 423581387301 564775183068 658904380246 753033577424 847162774602 988356570369 1129550366136 1270744161903 1317808760492 1694325549204 1976713140738 2259100732272 2541488323806 2635617520984 2965069711107 3388651098408 3953426281476 5082976647612 5271235041968 5930139422214 6777302196816 7906852562952 8895209133321 10165953295224 11860278844428 15813705125904 17790418266642 20331906590448 23720557688856 35580836533284 47441115377712 71161673066568 142323346133136