Search a number
-
+
10242400234430 = 2571367359467941
BaseRepresentation
bin1001010100001011111010…
…1000001010101110111110
31100021011102111001000110202
42111002332220022232332
52320302413430000210
633441143235203502
72104663140343160
oct225027650125676
940234374030422
1010242400234430
113299860a05981
121195067146592
13593b148984c0
14275a4049c930
1512b66596e9a5
hex950bea0abbe

10242400234430 has 128 divisors (see below), whose sum is σ = 23093723842560. Its totient is φ = 3184268060160.

The previous prime is 10242400234399. The next prime is 10242400234433. The reversal of 10242400234430 is 3443200424201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10242400234393 and 10242400234402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242400234433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21654260 + ... + 22122200.

It is an arithmetic number, because the mean of its divisors is an integer number (180419717520).

Almost surely, 210242400234430 is an apocalyptic number.

10242400234430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10242400234430 is an abundant number, since it is smaller than the sum of its proper divisors (12851323608130).

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

10242400234430 is a wasteful number, since it uses less digits than its factorization.

10242400234430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468394.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10242400234430 its reverse (3443200424201), we get a palindrome (13685600658631).

The spelling of 10242400234430 in words is "ten trillion, two hundred forty-two billion, four hundred million, two hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 67 70 91 130 134 182 335 359 455 469 670 718 871 910 938 1742 1795 2345 2513 3590 4355 4667 4690 5026 6097 8710 9334 12194 12565 23335 24053 25130 30485 32669 46670 48106 60970 65338 120265 163345 168371 240530 312689 326690 336742 467941 625378 841855 935882 1563445 1683710 2188823 2339705 3126890 3275587 4377646 4679410 6083233 6551174 10944115 12166466 16377935 21888230 30416165 31352047 32755870 42582631 60832330 62704094 85165262 156760235 167990819 212913155 219464329 313520470 335981638 407576611 425826310 438928658 815153222 839954095 1097321645 1175935733 1679908190 2037883055 2183880647 2194643290 2351871466 2853036277 4075766110 4367761294 5706072554 5879678665 10919403235 11255384873 11759357330 14265181385 15287164529 21838806470 22510769746 28530362770 30574329058 56276924365 76435822645 78787694111 112553848730 146320003349 152871645290 157575388222 292640006698 393938470555 731600016745 787876941110 1024240023443 1463200033490 2048480046886 5121200117215 10242400234430