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242403402010 = 257111935946153
BaseRepresentation
bin1110000111000001011…
…1100110000100011010
3212011200111202200202011
43201300113212010122
512432420232331020
6303205242100134
723340660630520
oct3416027460432
9764614680664
10242403402010
11938914457a0
123ab904aa64a
1319b212ab9b3
14ba37956310
15648ae5535a
hex38705e611a

242403402010 has 128 divisors (see below), whose sum is σ = 574229606400. Its totient is φ = 71376837120.

The previous prime is 242403401963. The next prime is 242403402041. The reversal of 242403402010 is 10204304242.

It is a happy number.

242403402010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 63 ways as a sum of consecutive naturals, for example, 5229094 + ... + 5275246.

It is an arithmetic number, because the mean of its divisors is an integer number (4486168800).

Almost surely, 2242403402010 is an apocalyptic number.

242403402010 is an abundant number, since it is smaller than the sum of its proper divisors (331826204390).

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

242403402010 is a wasteful number, since it uses less digits than its factorization.

242403402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46556.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242403402010 its reverse (10204304242), we get a palindrome (252607706252).

The spelling of 242403402010 in words is "two hundred forty-two billion, four hundred three million, four hundred two thousand, ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 359 385 418 665 718 770 1045 1330 1463 1795 2090 2513 2926 3590 3949 5026 6821 7315 7898 12565 13642 14630 19745 25130 27643 34105 39490 46153 47747 55286 68210 75031 92306 95494 138215 150062 230765 238735 276430 323071 375155 461530 477470 507683 525217 646142 750310 876907 1015366 1050434 1615355 1753814 2538415 2626085 3230710 3553781 4384535 5076830 5252170 6138349 7107562 8769070 9645977 12276698 16568927 17768905 19291954 30691745 33137854 35537810 48229885 61383490 67521839 82844635 96459770 115982489 135043678 165689270 182258197 231964978 314809613 337609195 364516394 579912445 629619226 675218390 911290985 1159824890 1275807379 1574048065 1822581970 2203667291 2551614758 3148096130 3462905743 4407334582 6379036895 6925811486 11018336455 12758073790 17314528715 22036672910 24240340201 34629057430 48480680402 121201701005 242403402010