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40234412000 = 255343233921
BaseRepresentation
bin100101011110001010…
…000110011111100000
310211212000010220022102
4211132022012133200
51124400002141000
630252231025532
72623021600466
oct453612063740
9124760126272
1040234412000
1116077305272
12796a50b2a8
133a427c7aa3
141d3978a836
1510a738c3d5
hex95e2867e0

40234412000 has 96 divisors (see below), whose sum is σ = 101155358304. Its totient is φ = 15719424000.

The previous prime is 40234411999. The next prime is 40234412011. The reversal of 40234412000 is 21443204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 55040 + ... + 288960.

It is an arithmetic number, because the mean of its divisors is an integer number (1053701649).

Almost surely, 240234412000 is an apocalyptic number.

40234412000 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 40234412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577679152).

40234412000 is an abundant number, since it is smaller than the sum of its proper divisors (60920946304).

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

40234412000 is a wasteful number, since it uses less digits than its factorization.

40234412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233989 (or 233971 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40234412000 its reverse (21443204), we get a palindrome (40255855204).

The spelling of 40234412000 in words is "forty billion, two hundred thirty-four million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 233921 467842 935684 1169605 1871368 2339210 3742736 4678420 5848025 7485472 9356840 10058603 11696050 18713680 20117206 23392100 29240125 37427360 40234412 46784200 50293015 58480250 80468824 93568400 100586030 116960500 160937648 187136800 201172060 233921000 251465075 321875296 402344120 467842000 502930150 804688240 935684000 1005860300 1257325375 1609376480 2011720600 2514650750 4023441200 5029301500 8046882400 10058603000 20117206000 40234412000