Search a number
-
+
40944292064235 = 3257972295851613
BaseRepresentation
bin10010100111101000101011…
…11110111110101111101011
312100222020101010001002022100
421103310111332332233223
520331312402232023420
6223025314220224443
711424061504126620
oct1123642576765753
9170866333032270
1040944292064235
111205641650032a
12471334069b123
1319b00513a74b1
14a17a000cc347
154b00c5948190
hex253d15fbebeb

40944292064235 has 96 divisors (see below), whose sum is σ = 82302716845440. Its totient is φ = 18443532017664.

The previous prime is 40944292064197. The next prime is 40944292064267. The reversal of 40944292064235 is 53246029244904.

40944292064235 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 4 + 2 + 9 + 206 + 423 + 5 = 666.

It is not a de Polignac number, because 40944292064235 - 213 = 40944292056043 is a prime.

It is a super-2 number, since 2×409442920642352 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4071289 + ... + 9922901.

It is an arithmetic number, because the mean of its divisors is an integer number (857319967140).

Almost surely, 240944292064235 is an apocalyptic number.

40944292064235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40944292064235 is an abundant number, since it is smaller than the sum of its proper divisors (41358424781205).

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

40944292064235 is a wasteful number, since it uses less digits than its factorization.

40944292064235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851957 (or 5851954 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 40944292064235 in words is "forty trillion, nine hundred forty-four billion, two hundred ninety-two million, sixty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 229 291 315 485 679 687 873 1145 1455 1603 2037 2061 3395 3435 4365 4809 6111 8015 10185 10305 14427 22213 24045 30555 66639 72135 111065 155491 199917 333195 466473 777455 999585 1399419 2332365 5851613 6997095 17554839 29258065 40961291 52664517 87774195 122883873 204806455 263322585 368651619 567606461 614419365 1340019377 1702819383 1843258095 2838032305 3973245227 4020058131 5108458149 6700096885 8514096915 9380135639 11919735681 12060174393 19866226135 20100290655 25542290745 28140406917 35759207043 46900678195 59598678405 60300871965 84421220751 129981879569 140702034585 178796035215 389945638707 422106103755 649909397845 909873156983 1169836916121 1949728193535 2729619470949 4549365784915 5849184580605 8188858412847 13648097354745 40944292064235