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4040450370 = 2335114133181
BaseRepresentation
bin1111000011010100…
…0110000101000010
3101102120211010221000
43300311012011002
531233323402440
61504532512430
7202061155455
oct36065060502
911376733830
104040450370
111793802190
1294917b716
134c5115248
142a488349c
15189ab5730
hexf0d46142

4040450370 has 128 divisors (see below), whose sum is σ = 12041084160. Its totient is φ = 955584000.

The previous prime is 4040450353. The next prime is 4040450371. The reversal of 4040450370 is 730540404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4040450371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105180 + ... + 138360.

It is an arithmetic number, because the mean of its divisors is an integer number (94070970).

Almost surely, 24040450370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040450370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020542080).

4040450370 is an abundant number, since it is smaller than the sum of its proper divisors (8000633790).

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

4040450370 is a wasteful number, since it uses less digits than its factorization.

4040450370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33249 (or 33243 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4040450370 is about 63564.5370470044. The cubic root of 4040450370 is about 1592.7340287472.

Adding to 4040450370 its reverse (730540404), we get a palindrome (4770990774).

The spelling of 4040450370 in words is "four billion, forty million, four hundred fifty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 410 451 495 594 615 738 902 990 1107 1230 1353 1485 1845 2214 2255 2706 2970 3690 4059 4510 5535 6765 8118 11070 12177 13530 20295 24354 33181 40590 60885 66362 99543 121770 165905 199086 298629 331810 364991 497715 597258 729982 895887 995430 1094973 1360421 1493145 1791774 1824955 2189946 2720842 2986290 3284919 3649910 4081263 4479435 5474865 6569838 6802105 8162526 8958870 9854757 10949730 12243789 13604210 14964631 16424595 19709514 20406315 24487578 29929262 32849190 36731367 40812630 44893893 49273785 61218945 73462734 74823155 89787786 98547570 122437890 134681679 149646310 183656835 224469465 269363358 367313670 404045037 448938930 673408395 808090074 1346816790 2020225185 4040450370