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10142444403 = 347133737189
BaseRepresentation
bin10010111001000100…
…10110101101110011
3222011211210120010000
421130202112231303
5131232431210103
64354231441043
7506224232520
oct113442265563
928154716100
1010142444403
114335166663
121b70826183
13c583722c0
146c3042147
153e5648aa3
hex25c896b73

10142444403 has 80 divisors (see below), whose sum is σ = 19151957440. Its totient is φ = 5205129984.

The previous prime is 10142444353. The next prime is 10142444407. The reversal of 10142444403 is 30444424101.

10142444403 is a `hidden beast` number, since 1 + 0 + 14 + 244 + 4 + 403 = 666.

It is not a de Polignac number, because 10142444403 - 26 = 10142444339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10142444407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254133 + ... + 291321.

It is an arithmetic number, because the mean of its divisors is an integer number (239399468).

Almost surely, 210142444403 is an apocalyptic number.

10142444403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10142444403 is a deficient number, since it is larger than the sum of its proper divisors (9009513037).

10142444403 is a wasteful number, since it uses less digits than its factorization.

10142444403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37258 (or 37249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10142444403 its reverse (30444424101), we get a palindrome (40586868504).

The spelling of 10142444403 in words is "ten billion, one hundred forty-two million, four hundred forty-four thousand, four hundred three".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 111 117 189 259 273 333 351 481 567 777 819 999 1053 1443 2331 2457 2997 3367 4329 6993 7371 10101 12987 20979 30303 37189 38961 90909 111567 260323 272727 334701 483457 780969 1004103 1375993 1450371 2342907 3012309 3384199 4127979 4351113 7028721 9631951 10152597 12383937 13053339 17887909 21086163 28895853 30457791 37151811 39160017 53663727 86687559 91373373 111455433 125215363 160991181 260062677 274120119 375646089 482973543 780188031 1126938267 1448920629 3380814801 10142444403