Search a number
-
+
40232124055818 = 236731123336599
BaseRepresentation
bin10010010010111010001010…
…11101101000000100001010
312021110011010220021211000000
421021131011131220010022
520233130342224241233
6221322214352223430
711321450353004112
oct1111350535500412
9167404126254000
1040232124055818
11119013911a8932
124619308b3ab76
13195ab47040096
149d1360b54042
1549b7e34d4d13
hex24974576810a

40232124055818 has 112 divisors (see below), whose sum is σ = 91802299406400. Its totient is φ = 13215182156352.

The previous prime is 40232124055771. The next prime is 40232124055829. The reversal of 40232124055818 is 81855042123204.

40232124055818 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 21 + 2 + 40 + 5 + 581 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 119357083 + ... + 119693681.

Almost surely, 240232124055818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40232124055818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45901149703200).

40232124055818 is an abundant number, since it is smaller than the sum of its proper divisors (51570175350582).

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

40232124055818 is a wasteful number, since it uses less digits than its factorization.

40232124055818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337815 (or 337800 counting only the distinct ones).

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

The spelling of 40232124055818 in words is "forty trillion, two hundred thirty-two billion, one hundred twenty-four million, fifty-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1123 1314 1458 1971 2246 3369 3942 5913 6738 10107 11826 17739 20214 30321 35478 53217 60642 81979 90963 106434 163958 181926 245937 272889 336599 491874 545778 673198 737811 818667 1009797 1475622 1637334 2019594 2213433 3029391 4426866 6058782 6640299 9088173 13280598 18176346 19920897 24571727 27264519 39841794 49143454 54529038 59762691 73715181 81793557 119525382 147430362 163587114 221145543 245380671 378000677 442291086 490761342 663436629 756001354 1134002031 1326873258 1990309887 2268004062 3402006093 3980619774 5970929661 6804012186 10206018279 11941859322 17912788983 20412036558 27594049421 30618054837 35825577966 55188098842 61236109674 82782148263 91854164511 165564296526 183708329022 248346444789 275562493533 496692889578 551124987066 745039334367 1490078668734 2235118003101 4470236006202 6705354009303 13410708018606 20116062027909 40232124055818