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40220003032 = 231123611991637
BaseRepresentation
bin100101011101010011…
…001000101011011000
310211211000000211220221
4211131103020223120
51124332310044112
630250554125424
72622455246026
oct453523105330
9124730024827
1040220003032
111606a163630
127965720874
133a3c821481
141d378b9716
1510a5e92e07
hex95d4c8ad8

40220003032 has 128 divisors (see below), whose sum is σ = 87744384000. Its totient is φ = 17103398400.

The previous prime is 40220003023. The next prime is 40220003039. The reversal of 40220003032 is 23030002204.

It is a junction number, because it is equal to n+sod(n) for n = 40220002997 and 40220003015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40220003039) by changing a digit.

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, 24568518 + ... + 24570154.

It is an arithmetic number, because the mean of its divisors is an integer number (685503000).

Almost surely, 240220003032 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 40220003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192000).

40220003032 is an abundant number, since it is smaller than the sum of its proper divisors (47524380968).

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

40220003032 is a wasteful number, since it uses less digits than its factorization.

40220003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 40220003032 its reverse (23030002204), we get a palindrome (63250005236).

The spelling of 40220003032 in words is "forty billion, two hundred twenty million, three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 199 244 253 398 488 506 671 796 1012 1342 1403 1592 1637 2024 2189 2684 2806 3274 4378 4577 5368 5612 6548 8756 9154 11224 12139 13096 15433 17512 18007 18308 24278 30866 36014 36616 37651 48556 50347 61732 72028 75302 97112 99857 100694 123464 133529 144056 150604 199714 201388 267058 279197 301208 325763 399428 402776 414161 534116 558394 651526 798856 828322 1068232 1098427 1116788 1303052 1656644 2196854 2233576 2296711 2606104 3071167 3313288 3583393 4393708 4593422 6142334 7166786 7492549 8787416 9186844 12284668 14333572 14985098 18373688 19871543 24569336 25263821 28667144 29970196 39743086 50527642 59940392 79486172 82418039 101055284 158972344 164836078 202110568 218586973 329672156 437173946 457045489 659344312 874347892 914090978 1748695784 1828181956 3656363912 5027500379 10055000758 20110001516 40220003032