Search a number
-
+
40024222240 = 2557116692111
BaseRepresentation
bin100101010001101000…
…010010101000100000
310211022100122011011111
4211101220102220200
51123432200102430
630215321553104
72614560163402
oct452150225040
9124270564144
1040024222240
1115a796a2622
127910045794
133a0b0b3752
141d198b4b72
151093bbdc2a
hex951a12a20

40024222240 has 96 divisors (see below), whose sum is σ = 95991920640. Its totient is φ = 15767270400.

The previous prime is 40024222223. The next prime is 40024222243. The reversal of 40024222240 is 4222242004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40024222243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18958785 + ... + 18960895.

It is an arithmetic number, because the mean of its divisors is an integer number (999915840).

Almost surely, 240024222240 is an apocalyptic number.

40024222240 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 40024222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47995960320).

40024222240 is an abundant number, since it is smaller than the sum of its proper divisors (55967698400).

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

40024222240 is a wasteful number, since it uses less digits than its factorization.

40024222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40024222240 its reverse (4222242004), we get a palindrome (44246464244).

The spelling of 40024222240 in words is "forty billion, twenty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 1669 2111 2272 2840 3338 4222 5680 6676 8345 8444 10555 11360 13352 16690 16888 21110 26704 33380 33776 42220 53408 66760 67552 84440 118499 133520 149881 168880 236998 267040 299762 337760 473996 592495 599524 749405 947992 1184990 1199048 1498810 1895984 2369980 2398096 2997620 3523259 3791968 4739960 4796192 5995240 7046518 9479920 11990480 14093036 17616295 18959840 23980960 28186072 35232590 56372144 70465180 112744288 140930360 250151389 281860720 500302778 563721440 1000605556 1250756945 2001211112 2501513890 4002422224 5003027780 8004844448 10006055560 20012111120 40024222240