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1342200537312 = 253433079105601
BaseRepresentation
bin10011100010000001011…
…000101110000011100000
311202022110021002212102120
4103202001120232003200
5133442311314143222
62504333131344240
7165653660220015
oct23420130560340
94668407085376
101342200537312
11478251237508
121981642b2080
1399752038a8b
1448d6a0d370c
1524da8bd315c
hex1388162e0e0

1342200537312 has 96 divisors (see below), whose sum is σ = 3606418126080. Its totient is φ = 436849459200.

The previous prime is 1342200537287. The next prime is 1342200537341. The reversal of 1342200537312 is 2137350022431.

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

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, 12657312 + ... + 12762912.

It is an arithmetic number, because the mean of its divisors is an integer number (37566855480).

Almost surely, 21342200537312 is an apocalyptic number.

1342200537312 is a gapful number since it is divisible by the number (12) 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 1342200537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803209063040).

1342200537312 is an abundant number, since it is smaller than the sum of its proper divisors (2264217588768).

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

1342200537312 is a wasteful number, since it uses less digits than its factorization.

1342200537312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108736 (or 108728 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 1342200537312 its reverse (2137350022431), we get a palindrome (3479550559743).

The spelling of 1342200537312 in words is "one trillion, three hundred forty-two billion, two hundred million, five hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3079 4128 6158 9237 12316 18474 24632 36948 49264 73896 98528 105601 132397 147792 211202 264794 295584 316803 397191 422404 529588 633606 794382 844808 1059176 1267212 1588764 1689616 2118352 2534424 3177528 3379232 4236704 4540843 5068848 6355056 9081686 10137696 12710112 13622529 18163372 27245058 36326744 54490116 72653488 108980232 145306976 217960464 325145479 435920928 650290958 975436437 1300581916 1950872874 2601163832 3901745748 5202327664 7803491496 10404655328 13981255597 15606982992 27962511194 31213965984 41943766791 55925022388 83887533582 111850044776 167775067164 223700089552 335550134328 447400179104 671100268656 1342200537312