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1242144240 = 243529178469
BaseRepresentation
bin100101000001001…
…1001110111110000
310012120022110120020
41022002121313300
510020442103430
6323131243440
742532023531
oct11202316760
93176273506
101242144240
11588181397
122a7ba9580
1316a45bcbc
14bad80688
15740b2b10
hex4a099df0

1242144240 has 80 divisors (see below), whose sum is σ = 3983450400. Its totient is φ = 319814656.

The previous prime is 1242144223. The next prime is 1242144283. The reversal of 1242144240 is 424412421.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1242144240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82275 + ... + 96194.

It is an arithmetic number, because the mean of its divisors is an integer number (49793130).

Almost surely, 21242144240 is an apocalyptic number.

1242144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242144240 is an abundant number, since it is smaller than the sum of its proper divisors (2741306160).

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

1242144240 is a wasteful number, since it uses less digits than its factorization.

1242144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178514 (or 178508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1242144240 is about 35244.0667347002. The cubic root of 1242144240 is about 1074.9559715157.

Adding to 1242144240 its reverse (424412421), we get a palindrome (1666556661).

The spelling of 1242144240 in words is "one billion, two hundred forty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 178469 356938 535407 713876 892345 1070814 1427752 1784690 2141628 2677035 2855504 3569380 4283256 5175601 5354070 7138760 8566512 10351202 10708140 14277520 15526803 20702404 21416280 25878005 31053606 41404808 42832560 51756010 62107212 77634015 82809616 103512020 124214424 155268030 207024040 248428848 310536060 414048080 621072120 1242144240