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40675950960 = 24352292712731
BaseRepresentation
bin100101111000011110…
…011100000101110000
310212222202222101220020
4211320132130011300
51131301020412320
630404122443440
72636662610211
oct457036340560
9125882871806
1040675950960
1116283571aa7
127a72363580
133ab3121548
141d7c285408
1510d1008940
hex97879c170

40675950960 has 160 divisors (see below), whose sum is σ = 127159956480. Its totient is φ = 10755763200.

The previous prime is 40675950941. The next prime is 40675950967. The reversal of 40675950960 is 6905957604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40675950967) 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 31 ways as a sum of consecutive naturals, for example, 14892795 + ... + 14895525.

It is an arithmetic number, because the mean of its divisors is an integer number (794749728).

Almost surely, 240675950960 is an apocalyptic number.

40675950960 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 40675950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63579978240).

40675950960 is an abundant number, since it is smaller than the sum of its proper divisors (86484005520).

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

40675950960 is a wasteful number, since it uses less digits than its factorization.

40675950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 40675950960 in words is "forty billion, six hundred seventy-five million, nine hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 271 458 542 687 813 916 1084 1145 1355 1374 1626 1832 2168 2290 2710 2731 2748 3252 3435 3664 4065 4336 4580 5420 5462 5496 6504 6870 8130 8193 9160 10840 10924 10992 13008 13655 13740 16260 16386 18320 21680 21848 27310 27480 32520 32772 40965 43696 54620 54960 62059 65040 65544 81930 109240 124118 131088 163860 186177 218480 248236 310295 327720 372354 496472 620590 625399 655440 740101 744708 930885 992944 1241180 1250798 1480202 1489416 1861770 1876197 2220303 2482360 2501596 2960404 2978832 3126995 3700505 3723540 3752394 4440606 4964720 5003192 5920808 6253990 7401010 7447080 7504788 8881212 9380985 10006384 11101515 11841616 12507980 14802020 14894160 15009576 17762424 18761970 22203030 25015960 29604040 30019152 35524848 37523940 44406060 50031920 59208080 75047880 88812120 150095760 169483129 177624240 338966258 508449387 677932516 847415645 1016898774 1355865032 1694831290 2033797548 2542246935 2711730064 3389662580 4067595096 5084493870 6779325160 8135190192 10168987740 13558650320 20337975480 40675950960