Search a number
-
+
40378366368 = 2532437974091
BaseRepresentation
bin100101100110101111…
…001111100110100000
310212020001000112120200
4211212233033212200
51130143330210433
630314412305200
72626420310514
oct454657174640
9125201015520
1040378366368
111614059831a
1279aa772200
133a6658aca2
141d50940144
1510b4d25613
hex966bcf9a0

40378366368 has 144 divisors (see below), whose sum is σ = 117672530976. Its totient is φ = 13126740480.

The previous prime is 40378366367. The next prime is 40378366387. The reversal of 40378366368 is 86366387304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×403783663682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40378366361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9868003 + ... + 9872093.

It is an arithmetic number, because the mean of its divisors is an integer number (817170354).

Almost surely, 240378366368 is an apocalyptic number.

40378366368 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 40378366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58836265488).

40378366368 is an abundant number, since it is smaller than the sum of its proper divisors (77294164608).

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

40378366368 is a wasteful number, since it uses less digits than its factorization.

40378366368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 40378366368 in words is "forty billion, three hundred seventy-eight million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 797 1032 1376 1548 1594 2064 2391 3096 3188 4091 4128 4782 6192 6376 7173 8182 9564 12273 12384 12752 14346 16364 19128 24546 25504 28692 32728 34271 36819 38256 49092 57384 65456 68542 73638 76512 98184 102813 114768 130912 137084 147276 175913 196368 205626 229536 274168 294552 308439 351826 392736 411252 527739 548336 589104 616878 703652 822504 1055478 1096672 1178208 1233756 1407304 1583217 1645008 2110956 2467512 2814608 3166434 3260527 3290016 4221912 4935024 5629216 6332868 6521054 8443824 9781581 9870048 12665736 13042108 16887648 19563162 25331472 26084216 29344743 39126324 50662944 52168432 58689486 78252648 104336864 117378972 140202661 156505296 234757944 280405322 313010592 420607983 469515888 560810644 841215966 939031776 1121621288 1261823949 1682431932 2243242576 2523647898 3364863864 4486485152 5047295796 6729727728 10094591592 13459455456 20189183184 40378366368