Search a number
-
+
40446193300 = 22525910636449
BaseRepresentation
bin100101101010110001…
…111110111010010100
310212101202122111122021
4211222301332322110
51130313211141200
630325234142524
72631202653622
oct455261767224
9125352574567
1040446193300
1116175904737
127a09421a44
133a77648676
141d59958512
1510bac7241a
hex96ac7ee94

40446193300 has 72 divisors (see below), whose sum is σ = 89353656000. Its totient is φ = 15886840320.

The previous prime is 40446193267. The next prime is 40446193369. The reversal of 40446193300 is 339164404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6268476 + ... + 6274924.

It is an arithmetic number, because the mean of its divisors is an integer number (1241023000).

Almost surely, 240446193300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40446193300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44676828000).

40446193300 is an abundant number, since it is smaller than the sum of its proper divisors (48907462700).

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

40446193300 is a wasteful number, since it uses less digits than its factorization.

40446193300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 40446193300 in words is "forty billion, four hundred forty-six million, one hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1063 1180 1475 2126 2950 4252 5315 5900 6449 10630 12898 21260 25796 26575 32245 53150 62717 64490 106300 125434 128980 161225 250868 313585 322450 380491 627170 644900 760982 1254340 1521964 1567925 1902455 3135850 3804910 6271700 6855287 7609820 9512275 13710574 19024550 27421148 34276435 38049100 68552870 137105740 171382175 342764350 404461933 685528700 808923866 1617847732 2022309665 4044619330 8089238660 10111548325 20223096650 40446193300