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134340414012 = 223277338918773
BaseRepresentation
bin111110100011101010…
…0000000101000111100
3110211202102012010022100
41331013110000220330
54200112121222022
6141414245145100
712464036451420
oct1750724005074
9424672163270
10134340414012
1151a78730452
12220523bb190
13c88c1a414c
146705b12b80
153763e2c1ac
hex1f47500a3c

134340414012 has 144 divisors (see below), whose sum is σ = 394443241920. Its totient is φ = 37757850624.

The previous prime is 134340414011. The next prime is 134340414017. The reversal of 134340414012 is 210414043431.

It is a super-2 number, since 2×1343404140122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134340414011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7146658 + ... + 7165430.

It is an arithmetic number, because the mean of its divisors is an integer number (2739189180).

Almost surely, 2134340414012 is an apocalyptic number.

134340414012 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 134340414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197221620960).

134340414012 is an abundant number, since it is smaller than the sum of its proper divisors (260102827908).

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

134340414012 is a wasteful number, since it uses less digits than its factorization.

134340414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134340414012 its reverse (210414043431), we get a palindrome (344754457443).

The spelling of 134340414012 in words is "one hundred thirty-four billion, three hundred forty million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 389 438 511 657 778 876 1022 1167 1314 1533 1556 2044 2334 2628 2723 3066 3501 4599 4668 5446 6132 7002 8169 9198 10892 14004 16338 18396 18773 24507 28397 32676 37546 49014 56319 56794 75092 85191 98028 112638 113588 131411 168957 170382 198779 225276 255573 262822 337914 340764 394233 397558 511146 525644 596337 675828 788466 795116 1022292 1182699 1192674 1370429 1576932 1789011 2365398 2385348 2740858 3578022 4111287 4730796 5481716 7156044 7302697 8222574 9593003 12333861 14605394 16445148 19186006 21908091 24667722 28779009 29210788 38372012 43816182 49335444 51118879 57558018 65724273 86337027 87632364 102237758 115116036 131448546 153356637 172674054 204475516 262897092 306713274 345348108 460069911 533096881 613426548 920139822 1066193762 1599290643 1840279644 2132387524 3198581286 3731678167 4797871929 6397162572 7463356334 9595743858 11195034501 14926712668 19191487716 22390069002 33585103503 44780138004 67170207006 134340414012