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340235564120514 = 232962912853152729
BaseRepresentation
bin100110101011100010100001…
…1111100000111100111000010
31122121200012110110022210110200
41031113011003330013213002
5324043404413403324024
63203342021013110030
7131444131311526266
oct11527050374074702
91577605413283420
10340235564120514
1199456102028927
12321abb22028316
13117b00cb057b2a
1460036bc3c60a6
152950493d622c9
hex1357143f079c2

340235564120514 has 48 divisors (see below), whose sum is σ = 737315801609400. Its totient is φ = 113390511268608.

The previous prime is 340235564120513. The next prime is 340235564120519. The reversal of 340235564120514 is 415021465532043.

340235564120514 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 3 + 5 + 5 + 6 + 4 + 120 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290979969678225 + 49255594442289 = 17058135^2 + 7018233^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 340235564120514.

It is not an unprimeable number, because it can be changed into a prime (340235564120513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227631302 + ... + 2227784030.

Almost surely, 2340235564120514 is an apocalyptic number.

340235564120514 is an abundant number, since it is smaller than the sum of its proper divisors (397080237488886).

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

340235564120514 is a wasteful number, since it uses less digits than its factorization.

340235564120514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175219 (or 175216 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 340235564120514 in words is "three hundred forty trillion, two hundred thirty-five billion, five hundred sixty-four million, one hundred twenty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 9629 12853 19258 25706 28887 38559 57774 77118 86661 115677 152729 173322 231354 305458 458187 916374 1374561 2749122 123761537 247523074 371284611 742569222 1113853833 1470627541 1963025837 2227707666 2941255082 3926051674 4411882623 5889077511 8823765246 11778155022 13235647869 17667232533 26471295738 35334465066 18901975784473 37803951568946 56705927353419 113411854706838 170117782060257 340235564120514