Search a number
-
+
40853280528 = 243511392987
BaseRepresentation
bin100110000011000010…
…111001011100010000
310220110010122200100000
4212003002321130100
51132131414434103
630433455330000
72644245104064
oct460302713420
9126403580300
1040853280528
1116364680365
127b01820900
133b10a9ba98
141d97a45aa4
1510e1885aa3
hex9830b9710

40853280528 has 120 divisors (see below), whose sum is σ = 119617531488. Its totient is φ = 13497103872.

The previous prime is 40853280509. The next prime is 40853280539. The reversal of 40853280528 is 82508235804.

40853280528 is a `hidden beast` number, since 40 + 8 + 5 + 3 + 2 + 80 + 528 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392851 + ... + 485837.

Almost surely, 240853280528 is an apocalyptic number.

40853280528 is a gapful number since it is divisible by the number (48) 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 40853280528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59808765744).

40853280528 is an abundant number, since it is smaller than the sum of its proper divisors (78764250960).

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

40853280528 is a wasteful number, since it uses less digits than its factorization.

40853280528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93123 (or 93105 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 40853280528 in words is "forty billion, eight hundred fifty-three million, two hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 904 972 1017 1296 1356 1808 1944 2034 2712 3051 3888 4068 5424 6102 8136 9153 12204 16272 18306 24408 27459 36612 48816 54918 73224 92987 109836 146448 185974 219672 278961 371948 439344 557922 743896 836883 1115844 1487792 1673766 2231688 2510649 3347532 4463376 5021298 6695064 7531947 10042596 10507531 13390128 15063894 20085192 21015062 22595841 30127788 31522593 40170384 42030124 45191682 60255576 63045186 84060248 90383364 94567779 120511152 126090372 168120496 180766728 189135558 252180744 283703337 361533456 378271116 504361488 567406674 756542232 851110011 1134813348 1513084464 1702220022 2269626696 2553330033 3404440044 4539253392 5106660066 6808880088 10213320132 13617760176 20426640264 40853280528