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1044004000431 = 373147107318889
BaseRepresentation
bin11110011000100110111…
…11001101001010101111
310200210202102201020222210
433030103133031022233
5114101110011003211
62115335300541503
7135266251404330
oct17142337151257
93623672636883
101044004000431
1137283a04a7a7
1214a4029b1893
13775aba40612
143875c6ca287
151c254a139a6
hexf3137cd2af

1044004000431 has 64 divisors (see below), whose sum is σ = 1692800778240. Its totient is φ = 559763239680.

The previous prime is 1044004000427. The next prime is 1044004000439. The reversal of 1044004000431 is 1340004004401.

It is not a de Polignac number, because 1044004000431 - 22 = 1044004000427 is a prime.

It is a super-2 number, since 2×10440040004312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1044004000398 and 1044004000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044004000439) 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, 3114435 + ... + 3433323.

It is an arithmetic number, because the mean of its divisors is an integer number (26450012160).

Almost surely, 21044004000431 is an apocalyptic number.

1044004000431 is a deficient number, since it is larger than the sum of its proper divisors (648796777809).

1044004000431 is a wasteful number, since it uses less digits than its factorization.

1044004000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319084.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1044004000431 its reverse (1340004004401), we get a palindrome (2384008004832).

The spelling of 1044004000431 in words is "one trillion, forty-four billion, four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 31 47 93 107 141 217 321 329 651 749 987 1457 2247 3317 4371 5029 9951 10199 15087 23219 30597 35203 69657 105609 155899 318889 467697 956667 1091293 2232223 3273879 6696669 9885559 14987783 29656677 34121123 44963349 69198913 102363369 104914481 207596739 238847861 314743443 464621273 716543583 1057754813 1393863819 1603692781 3173264439 3252348911 4811078343 7404283691 9757046733 11225849467 22212851073 33677548401 49714476211 149143428633 348001333477 1044004000431