Search a number
-
+
40432023213066 = 23223971795624713
BaseRepresentation
bin10010011000101110100000…
…11000011001010000001010
312022011021010012211011020200
421030113100120121100022
520244414240420304231
6221554114241033030
711342055140545662
oct1114272030312012
9168137105734220
1040432023213066
1111979141052411
12464bbb6925776
1319739534b1c94
149dacc56a51a2
154a1ae2b89be6
hex24c5d061940a

40432023213066 has 96 divisors (see below), whose sum is σ = 92869877842560. Its totient is φ = 12687190382592.

The previous prime is 40432023213059. The next prime is 40432023213103. The reversal of 40432023213066 is 66031232023404.

40432023213066 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 20 + 2 + 321 + 306 + 6 = 666.

It is a super-2 number, since 2×404320232130662 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40432023213066.

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 47 ways as a sum of consecutive naturals, for example, 4375926 + ... + 10000638.

It is an arithmetic number, because the mean of its divisors is an integer number (967394560860).

Almost surely, 240432023213066 is an apocalyptic number.

40432023213066 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40432023213066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434938921280).

40432023213066 is an abundant number, since it is smaller than the sum of its proper divisors (52437854629494).

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

40432023213066 is a wasteful number, since it uses less digits than its factorization.

40432023213066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625020 (or 5625017 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 40432023213066 in words is "forty trillion, four hundred thirty-two billion, twenty-three million, two hundred thirteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 179 194 207 291 358 414 537 582 873 1074 1611 1746 2231 3222 4117 4462 6693 8234 12351 13386 17363 20079 24702 34726 37053 40158 52089 74106 104178 156267 312534 399349 798698 1198047 2396094 3594141 5624713 7188282 11249426 16874139 33748278 50622417 101244834 129368399 258736798 388105197 545597161 776210394 1006823627 1091194322 1164315591 1636791483 2013647254 2328631182 3020470881 3273582966 4910374449 6040941762 9061412643 9820748898 12548734703 18122825286 23156943421 25097469406 37646204109 46313886842 69470830263 75292408218 97661891819 112938612327 138941660526 195323783638 208412490789 225877224654 292985675457 416824981578 585971350914 878957026371 1757914052742 2246223511837 4492447023674 6738670535511 13477341071022 20216011606533 40432023213066