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340142044223331 = 33743337857144917
BaseRepresentation
bin100110101010110110111110…
…1101110000001011101100011
31122121100021001220010210011000
41031111231331232001131203
5324040341401310121311
63203231033053123043
7131434310641522650
oct11525557556013543
91577307056123130
10340142044223331
119941a48152a9a9
1232195982489483
13117a4345c2086c
145ddcd69c2ac27
15294cd1d998056
hex1355b7db81763

340142044223331 has 128 divisors (see below), whose sum is σ = 591737339381760. Its totient is φ = 189061206921216.

The previous prime is 340142044223309. The next prime is 340142044223351. The reversal of 340142044223331 is 133322440241043.

340142044223331 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 420 + 4 + 4 + 223 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 340142044223331 - 231 = 340139896739683 is a prime.

It is a super-2 number, since 2×3401420442233312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340142044223351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2347078285 + ... + 2347223201.

It is an arithmetic number, because the mean of its divisors is an integer number (4622947963920).

Almost surely, 2340142044223331 is an apocalyptic number.

340142044223331 is a deficient number, since it is larger than the sum of its proper divisors (251595295158429).

340142044223331 is a wasteful number, since it uses less digits than its factorization.

340142044223331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146170 (or 146164 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 340142044223331 its reverse (133322440241043), we get a palindrome (473464484464374).

The spelling of 340142044223331 in words is "three hundred forty trillion, one hundred forty-two billion, forty-four million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 337 387 857 903 1011 1161 2359 2571 2709 3033 5999 7077 7713 8127 9099 14491 17997 21231 23139 36851 43473 53991 63693 101437 110553 130419 144917 161973 257957 288809 304311 331659 391257 434751 773871 866427 912933 994977 1014419 1304253 2021663 2321613 2599281 2738799 3043257 3912759 6064989 6231431 6964839 7797843 9129771 12418787 18194967 18694293 27389313 37256361 43620017 48837029 54584901 56082879 86931509 111769083 124193869 130860051 146511087 168248637 260794527 335307249 341859203 372581607 392580153 439533261 782383581 869357083 1025577609 1117744821 1177740459 1318599783 2099992247 2347150743 2608071249 3076732827 3353234463 5340336367 6299976741 7824213747 9230198481 14699945729 16021009101 18899930223 23472641241 37382354569 41853333853 44099837187 48063027303 56699790669 112147063707 125560001559 132299511561 144189081909 292973336971 336441191121 376680004677 396898534683 878920010913 1009323573363 1130040014031 1799693355679 2636760032739 5399080067037 7910280098217 12597853489753 16197240201111 37793560469259 48591720603333 113380681407777 340142044223331