Search a number
-
+
40821854000 = 245331658417
BaseRepresentation
bin100110000001001011…
…000000111100110000
310220100221112001020112
4212001023000330300
51132100343312000
630430414000452
72643414014414
oct460113007460
9126327461215
1040821854000
1116348966124
127ab31a6128
133b074176c5
141d937c4d44
1510ddc29235
hex9812c0f30

40821854000 has 80 divisors (see below), whose sum is σ = 101891502336. Its totient is φ = 15801984000.

The previous prime is 40821853997. The next prime is 40821854009. The reversal of 40821854000 is 45812804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40821854009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267209 + ... + 391208.

Almost surely, 240821854000 is an apocalyptic number.

40821854000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40821854000 is an abundant number, since it is smaller than the sum of its proper divisors (61069648336).

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

40821854000 is a wasteful number, since it uses less digits than its factorization.

40821854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658471 (or 658455 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 40821854000 in words is "forty billion, eight hundred twenty-one million, eight hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 658417 1316834 2633668 3292085 5267336 6584170 10534672 13168340 16460425 20410927 26336680 32920850 40821854 52673360 65841700 81643708 82302125 102054635 131683400 163287416 164604250 204109270 263366800 326574832 329208500 408218540 510273175 658417000 816437080 1020546350 1316834000 1632874160 2041092700 2551365875 4082185400 5102731750 8164370800 10205463500 20410927000 40821854000