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40241141200 = 24521319407299
BaseRepresentation
bin100101011110100011…
…110001010111010000
310211212110210210001001
4211132203301113100
51124403213004300
630253031151344
72623133025241
oct453643612720
9124773723031
1040241141200
1116080090a97
127970815554
133a44012970
141d3a61ccc8
1510a7c6b16a
hex95e8f15d0

40241141200 has 120 divisors (see below), whose sum is σ = 109596284000. Its totient is φ = 14076218880.

The previous prime is 40241141197. The next prime is 40241141203. The reversal of 40241141200 is 214114204.

40241141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40241141197) and next prime (40241141203).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40241141203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104850 + ... + 302449.

Almost surely, 240241141200 is an apocalyptic number.

40241141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40241141200 is an abundant number, since it is smaller than the sum of its proper divisors (69355142800).

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

40241141200 is a wasteful number, since it uses less digits than its factorization.

40241141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407349 (or 407338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40241141200 its reverse (214114204), we get a palindrome (40455255404).

The spelling of 40241141200 in words is "forty billion, two hundred forty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 130 152 190 200 208 247 260 304 325 380 400 475 494 520 650 760 950 988 1040 1235 1300 1520 1900 1976 2470 2600 3800 3952 4940 5200 6175 7600 9880 12350 19760 24700 49400 98800 407299 814598 1629196 2036495 3258392 4072990 5294887 6516784 7738681 8145980 10182475 10589774 15477362 16291960 20364950 21179548 26474435 30954724 32583920 38693405 40729900 42359096 52948870 61909448 77386810 81459800 84718192 100602853 105897740 123818896 132372175 154773620 162919600 193467025 201205706 211795480 264744350 309547240 386934050 402411412 423590960 503014265 529488700 619094480 773868100 804822824 1006028530 1058977400 1547736200 1609645648 2012057060 2117954800 2515071325 3095472400 4024114120 5030142650 8048228240 10060285300 20120570600 40241141200