Search a number
-
+
10431401345535 = 3517614733141689
BaseRepresentation
bin1001011111001011111111…
…1110001100000111111111
31100221020021021222020212210
42113302333332030013333
52331402002221024120
634104041501031503
72124433564312542
oct227627776140777
940836237866783
1010431401345535
113361a29128055
121205813255593
135a88a528b9a1
14280c4d8bc859
151315284c3ce0
hex97cbff8c1ff

10431401345535 has 64 divisors (see below), whose sum is σ = 17965648160640. Its totient is φ = 5149191290880.

The previous prime is 10431401345527. The next prime is 10431401345587. The reversal of 10431401345535 is 53554310413401.

It is not a de Polignac number, because 10431401345535 - 23 = 10431401345527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10431401345493 and 10431401345502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73550971 + ... + 73692659.

It is an arithmetic number, because the mean of its divisors is an integer number (280713252510).

Almost surely, 210431401345535 is an apocalyptic number.

10431401345535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10431401345535 is a deficient number, since it is larger than the sum of its proper divisors (7534246815105).

10431401345535 is a wasteful number, since it uses less digits than its factorization.

10431401345535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146508.

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 10431401345535 its reverse (53554310413401), we get a palindrome (63985711758936).

The spelling of 10431401345535 in words is "ten trillion, four hundred thirty-one billion, four hundred one million, three hundred forty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 15 17 51 61 85 183 255 305 915 1037 3111 4733 5185 14199 15555 23665 70995 80461 141689 241383 288713 402305 425067 708445 866139 1206915 1443565 2125335 2408713 4330695 4908121 7226139 8643029 12043565 14724363 24540605 25929087 36130695 43215145 73621815 129645435 146931493 440794479 670614037 734657465 2011842111 2203972395 3353070185 10059210555 11400438629 34201315887 40907456257 57002193145 122722368771 171006579435 204537281285 613611843855 695426756369 2086280269107 3477133781845 10431401345535