Search a number
-
+
40996390360 = 23541148116879
BaseRepresentation
bin100110001011100100…
…110100010111011000
310220211002221102010011
4212023210310113120
51132430033442420
630500010531304
72650633365652
oct461344642730
9126732842104
1040996390360
1116428436952
127b41736b34
133b34627763
141daca596d2
1510ee20395a
hex98b9345d8

40996390360 has 64 divisors (see below), whose sum is σ = 94561084800. Its totient is φ = 15986841600.

The previous prime is 40996390343. The next prime is 40996390363. The reversal of 40996390360 is 6309369904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40996390363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420401 + ... + 2437279.

It is an arithmetic number, because the mean of its divisors is an integer number (1477516950).

Almost surely, 240996390360 is an apocalyptic number.

40996390360 is a gapful number since it is divisible by the number (40) 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 40996390360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47280542400).

40996390360 is an abundant number, since it is smaller than the sum of its proper divisors (53564694440).

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

40996390360 is a wasteful number, since it uses less digits than its factorization.

40996390360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 49.

The spelling of 40996390360 in words is "forty billion, nine hundred ninety-six million, three hundred ninety thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1481 1640 2962 5924 7405 11848 14810 16879 29620 33758 59240 60721 67516 84395 121442 135032 168790 242884 303605 337580 485768 607210 675160 692039 1214420 1384078 2428840 2768156 3460195 5536312 6920390 13840780 24997799 27681560 49995598 99991196 124988995 199982392 249977990 499955980 999911960 1024909759 2049819518 4099639036 5124548795 8199278072 10249097590 20498195180 40996390360