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340234443131044 = 2271115742116712669
BaseRepresentation
bin100110101011100010000000…
…1000111111000100010100100
31122121200002120022222122000011
41031113010001013320202210
5324043400114420143134
63203341313450300004
7131444061450343360
oct11527040107704244
91577602508878004
10340234443131044
1199455687287950
12321ab86a727604
13117acc7ca38557
1460036135822a0
15295042a732264
hex13571011f88a4

340234443131044 has 96 divisors (see below), whose sum is σ = 748832437866240. Its totient is φ = 131401680883200.

The previous prime is 340234443131029. The next prime is 340234443131047. The reversal of 340234443131044 is 440131344432043.

It is a super-2 number, since 2×3402344431310442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340234443130988 and 340234443131006.

It is not an unprimeable number, because it can be changed into a prime (340234443131047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12001542 + ... + 28714210.

It is an arithmetic number, because the mean of its divisors is an integer number (7800337894440).

Almost surely, 2340234443131044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340234443131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374416218933120).

340234443131044 is an abundant number, since it is smaller than the sum of its proper divisors (408597994735196).

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

340234443131044 is a wasteful number, since it uses less digits than its factorization.

340234443131044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16713269 (or 16713267 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 340234443131044 its reverse (440131344432043), we get a palindrome (780365787563087).

The spelling of 340234443131044 in words is "three hundred forty trillion, two hundred thirty-four billion, four hundred forty-three million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 157 308 314 421 628 842 1099 1684 1727 2198 2947 3454 4396 4631 5894 6908 9262 11788 12089 18524 24178 32417 48356 64834 66097 129668 132194 264388 462679 727067 925358 1454134 1850716 2908268 5089469 10178938 16712669 20357876 33425338 66850676 116988683 183839359 233977366 367678718 467954732 735357436 1286875513 2573751026 2623889033 5147502052 5247778066 7036033649 10495556132 14072067298 18367223231 28144134596 28862779363 36734446462 49252235543 57725558726 73468892924 77396370139 98504471086 115451117452 154792740278 197008942172 202039455541 309585480556 404078911082 541774590973 808157822164 1083549181946 1104657282893 2167098363892 2209314565786 4418629131572 7732600980251 12151230111823 15465201960502 24302460223646 30930403921004 48604920447292 85058610782761 170117221565522 340234443131044