Search a number
-
+
1342572740976 = 243312017447331
BaseRepresentation
bin10011100010010111100…
…100100100000101110000
311202100102012110202212110
4103202113210210011300
5133444042110202401
62504434105125320
7165666130001625
oct23422744440560
94670365422773
101342572740976
11478422347645
12198248a89840
13997b119742c
1448da370034c
1524dcb7059d6
hex13897924170

1342572740976 has 80 divisors (see below), whose sum is σ = 3581976992768. Its totient is φ = 432872294400.

The previous prime is 1342572740963. The next prime is 1342572740981. The reversal of 1342572740976 is 6790472752431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2777631 + ... + 3224961.

Almost surely, 21342572740976 is an apocalyptic number.

1342572740976 is a gapful number since it is divisible by the number (16) 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 1342572740976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790988496384).

1342572740976 is an abundant number, since it is smaller than the sum of its proper divisors (2239404251792).

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

1342572740976 is a wasteful number, since it uses less digits than its factorization.

1342572740976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449390 (or 449384 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 1342572740976 in words is "one trillion, three hundred forty-two billion, five hundred seventy-two million, seven hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2017 4034 6051 8068 12102 16136 24204 32272 48408 62527 96816 125054 187581 250108 375162 447331 500216 750324 894662 1000432 1341993 1500648 1789324 2683986 3001296 3578648 5367972 7157296 10735944 13867261 21471888 27734522 41601783 55469044 83203566 110938088 166407132 221876176 332814264 665628528 902266627 1804533254 2706799881 3609066508 5413599762 7218133016 10827199524 14436266032 21654399048 27970265437 43308798096 55940530874 83910796311 111881061748 167821592622 223762123496 335643185244 447524246992 671286370488 1342572740976