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1400133130039 = 723722718011889
BaseRepresentation
bin10100010111111110011…
…100000001011100110111
311221211222200111111120001
4110113332130001130313
5140414433040130124
62551113504052131
7203104414145200
oct24277634013467
94854880444501
101400133130039
1149a87a717916
121a7431904047
13a205537a247
144baa41825a7
1526649baab44
hex145fe701737

1400133130039 has 48 divisors (see below), whose sum is σ = 1681937641440. Its totient is φ = 1161274060800.

The previous prime is 1400133130021. The next prime is 1400133130057. The reversal of 1400133130039 is 9300313310041.

It is an interprime number because it is at equal distance from previous prime (1400133130021) and next prime (1400133130057).

It is not a de Polignac number, because 1400133130039 - 215 = 1400133097271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1400133129989 and 1400133130016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400133130439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741202407 + ... + 741204295.

It is an arithmetic number, because the mean of its divisors is an integer number (35040367530).

Almost surely, 21400133130039 is an apocalyptic number.

1400133130039 is a deficient number, since it is larger than the sum of its proper divisors (281804511401).

1400133130039 is a wasteful number, since it uses less digits than its factorization.

1400133130039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 1400133130039 in words is "one trillion, four hundred billion, one hundred thirty-three million, one hundred thirty thousand, thirty-nine".

Divisors: 1 7 37 49 227 259 1589 1801 1813 1889 8399 11123 12607 13223 58793 66637 69893 88249 92561 408827 411551 428803 466459 489251 2861789 3001621 3265213 3402089 3424757 15126599 15865711 20032523 21011347 23814623 105886193 111059977 125877293 166702361 741203351 772274203 777419839 881141051 5405919421 6167987357 28574145511 37841435947 200019018577 1400133130039