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10434440142 = 2337212731051
BaseRepresentation
bin10011011011111000…
…01110101111001110
3222221012020110222000
421231330032233032
5132332204041032
64443222133130
7516401164200
oct115574165716
928835213860
1010434440142
114474a73355
1220325811a6
13ca39c9a49
1470db30770
154110c5e7c
hex26df0ebce

10434440142 has 96 divisors (see below), whose sum is σ = 27186647040. Its totient is φ = 2957698800.

The previous prime is 10434440141. The next prime is 10434440179. The reversal of 10434440142 is 24104443401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434440141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320517 + ... + 351567.

It is an arithmetic number, because the mean of its divisors is an integer number (283194240).

Almost surely, 210434440142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593323520).

10434440142 is an abundant number, since it is smaller than the sum of its proper divisors (16752206898).

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

10434440142 is a wasteful number, since it uses less digits than its factorization.

10434440142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31203 (or 31190 counting only the distinct ones).

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

Adding to 10434440142 its reverse (24104443401), we get a palindrome (34538883543).

The spelling of 10434440142 in words is "ten billion, four hundred thirty-four million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 127 147 189 254 294 378 381 441 762 882 889 1143 1323 1778 2286 2646 2667 3429 5334 6223 6858 8001 12446 16002 18669 24003 31051 37338 48006 56007 62102 93153 112014 168021 186306 217357 279459 336042 434714 558918 652071 838377 1304142 1521499 1676754 1956213 3042998 3912426 3943477 4564497 5868639 7886954 9128994 11737278 11830431 13693491 23660862 27386982 27604339 35491293 41080473 55208678 70982586 82160946 82813017 106473879 165626034 193230373 212947758 248439051 386460746 496878102 579691119 745317153 1159382238 1490634306 1739073357 3478146714 5217220071 10434440142