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40314651135 = 3511253735741
BaseRepresentation
bin100101100010111100…
…001100000111111111
310212001121010110201020
4211202330030013333
51130031022314020
630304214515223
72625014611023
oct454274140777
9125047113636
1040314651135
111610862a100
127991365b13
133a5630cc75
141d462b6383
1510ae43bc40
hex962f0c1ff

40314651135 has 96 divisors (see below), whose sum is σ = 73240542144. Its totient is φ = 18911692800.

The previous prime is 40314651133. The next prime is 40314651163. The reversal of 40314651135 is 53115641304.

It is a happy number.

It is not a de Polignac number, because 40314651135 - 21 = 40314651133 is a prime.

It is a super-2 number, since 2×403146511352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40314651096 and 40314651105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314651133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7019365 + ... + 7025105.

It is an arithmetic number, because the mean of its divisors is an integer number (762922314).

Almost surely, 240314651135 is an apocalyptic number.

40314651135 is a deficient number, since it is larger than the sum of its proper divisors (32925891009).

40314651135 is a wasteful number, since it uses less digits than its factorization.

40314651135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 40314651135 in words is "forty billion, three hundred fourteen million, six hundred fifty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 53 55 73 121 159 165 219 265 363 365 583 605 795 803 1095 1749 1815 2409 2915 3869 4015 5741 6413 8745 8833 11607 12045 17223 19239 19345 26499 28705 32065 42559 44165 58035 63151 86115 96195 127677 132495 189453 212795 304273 315755 419093 468149 638385 694661 912819 947265 1257279 1404447 1521365 2083983 2095465 2340745 3347003 3473305 4564095 4610023 6286395 7022235 10041009 10419915 13830069 16735015 22211929 23050115 36817033 50205045 50710253 66635787 69150345 110451099 111059645 152130759 184085165 244331219 253551265 333178935 552255495 732993657 760653795 1221656095 2687643409 3664968285 8062930227 13438217045 40314651135