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1242013524240 = 243529178450219
BaseRepresentation
bin10010000100101101110…
…001100110000100010000
311101201212001120021110210
4102010231301212010100
5130322120430233430
62350323444124120
7155506152523626
oct22045561460420
94351761507423
101242013524240
1143980a289755
12180863996640
139017686b318
14441842b1516
15224933572b0
hex1212dc66110

1242013524240 has 80 divisors (see below), whose sum is σ = 3983008910400. Its totient is φ = 319782790656.

The previous prime is 1242013524233. The next prime is 1242013524247. The reversal of 1242013524240 is 424253102421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1242013524233) and next prime (1242013524247).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1242013524198 and 1242013524207.

It is not an unprimeable number, because it can be changed into a prime (1242013524247) 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, 89218150 + ... + 89232069.

It is an arithmetic number, because the mean of its divisors is an integer number (49787611380).

Almost surely, 21242013524240 is an apocalyptic number.

1242013524240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242013524240 is an abundant number, since it is smaller than the sum of its proper divisors (2740995386160).

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

1242013524240 is a wasteful number, since it uses less digits than its factorization.

1242013524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178450264 (or 178450258 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1242013524240 its reverse (424253102421), we get a palindrome (1666266626661).

The spelling of 1242013524240 in words is "one trillion, two hundred forty-two billion, thirteen million, five hundred twenty-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 178450219 356900438 535350657 713800876 892251095 1070701314 1427601752 1784502190 2141402628 2676753285 2855203504 3569004380 4282805256 5175056351 5353506570 7138008760 8565610512 10350112702 10707013140 14276017520 15525169053 20700225404 21414026280 25875281755 31050338106 41400450808 42828052560 51750563510 62100676212 77625845265 82800901616 103501127020 124201352424 155251690530 207002254040 248402704848 310503381060 414004508080 621006762120 1242013524240