Search a number
-
+
40439006208 = 210326171933
BaseRepresentation
bin100101101010010110…
…100100010000000000
310212101021010100210200
4211222112210100000
51130304341144313
630324420125200
72631054611166
oct455226442000
9125337110720
1040439006208
1116171845997
127a06b36800
133a76000253
141d58a07236
1510ba302b73
hex96a5a4400

40439006208 has 132 divisors (see below), whose sum is σ = 118682611788. Its totient is φ = 13258506240.

The previous prime is 40439006191. The next prime is 40439006227. The reversal of 40439006208 is 80260093404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 681836544 + 39757169664 = 26112^2 + 199392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526210 + ... + 598142.

Almost surely, 240439006208 is an apocalyptic number.

40439006208 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 40439006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59341305894).

40439006208 is an abundant number, since it is smaller than the sum of its proper divisors (78243605580).

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

40439006208 is a wasteful number, since it uses less digits than its factorization.

40439006208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72020 (or 71999 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40439006208 in words is "forty billion, four hundred thirty-nine million, six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2196 2304 2928 3072 3904 4392 4608 5856 7808 8784 9216 11712 15616 17568 23424 31232 35136 46848 62464 70272 71933 93696 140544 143866 187392 215799 281088 287732 431598 562176 575464 647397 863196 1150928 1294794 1726392 2301856 2589588 3452784 4387913 4603712 5179176 6905568 8775826 9207424 10358352 13163739 13811136 17551652 18414848 20716704 26327478 27622272 35103304 36829696 39491217 41433408 52654956 55244544 70206608 73659392 78982434 82866816 105309912 110489088 140413216 157964868 165733632 210619824 220978176 280826432 315929736 331467264 421239648 561652864 631859472 662934528 842479296 1123305728 1263718944 1684958592 2246611456 2527437888 3369917184 4493222912 5054875776 6739834368 10109751552 13479668736 20219503104 40439006208