Search a number
-
+
40444413020 = 225112371112577
BaseRepresentation
bin100101101010101011…
…001100010001011100
310212101122022001112222
4211222223030101130
51130312232204040
630325132044512
72631151560404
oct455253142134
9125348261488
1040444413020
11161748a9130
127a08903738
133a7717424b
141d59613804
1510baa1ebb5
hex96aacc45c

40444413020 has 96 divisors (see below), whose sum is σ = 98045531136. Its totient is φ = 13869363200.

The previous prime is 40444413007. The next prime is 40444413041. The reversal of 40444413020 is 2031444404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302972 + ... + 415548.

It is an arithmetic number, because the mean of its divisors is an integer number (1021307616).

Almost surely, 240444413020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49022765568).

40444413020 is an abundant number, since it is smaller than the sum of its proper divisors (57601118116).

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

40444413020 is a wasteful number, since it uses less digits than its factorization.

40444413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112691 (or 112689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40444413020 its reverse (2031444404), we get a palindrome (42475857424).

The spelling of 40444413020 in words is "forty billion, four hundred forty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 71 92 110 115 142 220 230 253 284 355 460 506 710 781 1012 1265 1420 1562 1633 2530 3124 3266 3905 5060 6532 7810 8165 15620 16330 17963 32660 35926 71852 89815 112577 179630 225154 359260 450308 562885 1125770 1238347 2251540 2476694 2589271 4953388 5178542 6191735 7992967 10357084 12383470 12946355 15985934 24766940 25892710 28481981 31971868 39964835 51785420 56963962 79929670 87922637 113927924 142409905 159859340 175845274 183838241 284819810 351690548 367676482 439613185 569639620 735352964 879226370 919191205 1758452740 1838382410 2022220651 3676764820 4044441302 8088882604 10111103255 20222206510 40444413020