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40405769404 = 227111311638677
BaseRepresentation
bin100101101000010111…
…110001110010111100
310212021221120202110221
4211220113301302330
51130222334110104
630321231511124
72630202241660
oct455027616274
9125257522427
1040405769404
1116155004660
1279b79884a4
133a6c163bc0
141d544348a0
1510b7439c54
hex9685f1cbc

40405769404 has 96 divisors (see below), whose sum is σ = 95032014336. Its totient is φ = 14517377280.

The previous prime is 40405769381. The next prime is 40405769407. The reversal of 40405769404 is 40496750404.

It is a super-2 number, since 2×404057694042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40405769407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4652314 + ... + 4660990.

It is an arithmetic number, because the mean of its divisors is an integer number (989916816).

Almost surely, 240405769404 is an apocalyptic number.

40405769404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40405769404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516007168).

40405769404 is an abundant number, since it is smaller than the sum of its proper divisors (54626244932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40405769404 is a wasteful number, since it uses less digits than its factorization.

40405769404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 40405769404 in words is "forty billion, four hundred five million, seven hundred sixty-nine thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1163 2002 2326 4004 4652 8141 8677 12793 15119 16282 17354 25586 30238 32564 34708 51172 60476 60739 89551 95447 105833 112801 121478 166309 179102 190894 211666 225602 242956 332618 358204 381788 423332 451204 665236 668129 789607 1164163 1240811 1336258 1579214 2328326 2481622 2672516 3158428 4656652 4963244 8685677 10091351 17371354 20182702 34742708 40365404 70639457 111004861 131187563 141278914 222009722 262375126 282557828 444019444 524750252 777034027 918312941 1443063193 1554068054 1836625882 2886126386 3108136108 3673251764 5772252772 10101442351 20202884702 40405769404