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4040041124031 = 3114140918613923
BaseRepresentation
bin111010110010100101001…
…101110101000010111111
3112022020001102010112222220
4322302211031311002333
51012143001011432111
612331545210140423
7564611661643053
oct72624515650277
915266042115886
104040041124031
11131840a988810
12552ba1721713
13233c88549333
14dd779173c63
15701563b6e06
hex3aca53750bf

4040041124031 has 64 divisors (see below), whose sum is σ = 6039250721280. Its totient is φ = 2381061888000.

The previous prime is 4040041123981. The next prime is 4040041124089. The reversal of 4040041124031 is 1304211400404.

It is not a de Polignac number, because 4040041124031 - 225 = 4040007569599 is a prime.

It is a super-2 number, since 2×40400411240312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4040041123992 and 4040041124010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040041174031) 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, 1029832636 + ... + 1029836558.

It is an arithmetic number, because the mean of its divisors is an integer number (94363292520).

Almost surely, 24040041124031 is an apocalyptic number.

4040041124031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4040041124031 is a deficient number, since it is larger than the sum of its proper divisors (1999209597249).

4040041124031 is a wasteful number, since it uses less digits than its factorization.

4040041124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4040041124031 its reverse (1304211400404), we get a palindrome (5344252524435).

The spelling of 4040041124031 in words is "four trillion, forty billion, forty-one million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 3 11 33 41 123 409 451 1227 1353 1861 3923 4499 5583 11769 13497 16769 20471 43153 50307 61413 76301 129459 160843 184459 228903 482529 553377 761149 839311 1604507 1769273 2283447 2517933 4813521 5307819 7300703 8372639 17649577 21902109 25117917 31207109 52948731 65784787 80307733 93621327 197354361 240923199 299328823 343278199 723632657 897986469 1029834597 2170897971 2985987527 3292617053 8957962581 9877851159 32845862797 98537588391 122425488607 367276465821 1346680374677 4040041124031