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4034132342331 = 3713431607213847
BaseRepresentation
bin111010101101000101000…
…001100111011000111011
3112021122210121201100022020
4322231011001213120323
51012043400334423311
612325131012325523
7564312363063210
oct72550501473073
915248717640266
104034132342331
1113159585a0653
12551a129138a3
1323355633abc0
14dd37850bb07
156ee0c79bc06
hex3ab4506763b

4034132342331 has 64 divisors (see below), whose sum is σ = 6778317815808. Its totient is φ = 2077105016448.

The previous prime is 4034132342329. The next prime is 4034132342341. The reversal of 4034132342331 is 1332432314304.

It is a happy number.

It is not a de Polignac number, because 4034132342331 - 21 = 4034132342329 is a prime.

It is a super-2 number, since 2×40341323423312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4034132342292 and 4034132342301.

It is not an unprimeable number, because it can be changed into a prime (4034132342341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18757650 + ... + 18971496.

It is an arithmetic number, because the mean of its divisors is an integer number (105911215872).

Almost surely, 24034132342331 is an apocalyptic number.

4034132342331 is a deficient number, since it is larger than the sum of its proper divisors (2744185473477).

4034132342331 is a wasteful number, since it uses less digits than its factorization.

4034132342331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215520.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 4034132342331 its reverse (1332432314304), we get a palindrome (5366564656635).

The spelling of 4034132342331 in words is "four trillion, thirty-four billion, one hundred thirty-two million, three hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 903 1607 1677 3913 4821 11249 11739 20891 33747 62673 69101 146237 207303 213847 438711 483707 641541 898313 1451121 1496929 2694939 2780011 4490787 6288191 8340033 9195421 18864573 19460077 27586263 58380231 64367947 119540473 193103841 343652129 358621419 836783311 1030956387 2405564903 2510349933 4467477677 7216694709 13402433031 14777041547 31272343739 44331124641 93817031217 103439290829 192101540111 310317872487 576304620333 1344710780777 4034132342331