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40188420783260 = 22543839182330553
BaseRepresentation
bin10010010001101000110001…
…00010110111110010011100
312021021222100010212112120122
421020310120202313302130
520231421341210031020
6221250150003334112
711315342350216241
oct1110643042676234
9167258303775518
1040188420783260
11118948a4905362
124610950981338
1319569a098c4a9
149cd1b67d35c8
1549a5d683c125
hex248d188b7c9c

40188420783260 has 96 divisors (see below), whose sum is σ = 86511563550720. Its totient is φ = 15673692206592.

The previous prime is 40188420783233. The next prime is 40188420783311. The reversal of 40188420783260 is 6238702488104.

It is a super-4 number, since 4×401884207832604 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315352144 + ... + 1315382696.

It is an arithmetic number, because the mean of its divisors is an integer number (901162120320).

Almost surely, 240188420783260 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 40188420783260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43255781775360).

40188420783260 is an abundant number, since it is smaller than the sum of its proper divisors (46323142767460).

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

40188420783260 is a wasteful number, since it uses less digits than its factorization.

40188420783260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33267 (or 33265 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 53.

The spelling of 40188420783260 in words is "forty trillion, one hundred eighty-eight billion, four hundred twenty million, seven hundred eighty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 839 860 1678 1823 3356 3646 4195 7292 8390 9115 16780 18230 30553 36077 36460 61106 72154 78389 122212 144308 152765 156778 180385 305530 313556 360770 391945 611060 721540 783890 1313779 1529497 1567780 2627558 3058994 5255116 6117988 6568895 7647485 13137790 15294970 25633967 26275580 30589940 51267934 55698119 65768371 102535868 111396238 128169835 131536742 222792476 256339670 263073484 278490595 328841855 512679340 556981190 657683710 1102260581 1113962380 1315367420 2204521162 2395019117 4409042324 4790038234 5511302905 9580076468 11022605810 11975095585 22045211620 23950191170 46730721841 47900382340 93461443682 186922887364 233653609205 467307218410 934614436820 2009421039163 4018842078326 8037684156652 10047105195815 20094210391630 40188420783260