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42431303034 = 23317269171827
BaseRepresentation
bin100111100001000110…
…100100110101111010
311001112002222112021000
4213201012210311322
51143344403144114
631254230025430
73031326060561
oct474106446572
9131462875230
1042431303034
1116aa4400a9a
1282821a8276
1340029ab303
1420a7458bd8
151185192e09
hex9e11a4d7a

42431303034 has 64 divisors (see below), whose sum is σ = 100210089600. Its totient is φ = 13262217984.

The previous prime is 42431303009. The next prime is 42431303059. The reversal of 42431303034 is 43030313424.

42431303034 is a `hidden beast` number, since 42 + 4 + 313 + 0 + 303 + 4 = 666.

42431303034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42431303009) and next prime (42431303059).

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

It is a junction number, because it is equal to n+sod(n) for n = 42431302989 and 42431303007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161029 + ... + 332855.

It is an arithmetic number, because the mean of its divisors is an integer number (1565782650).

Almost surely, 242431303034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431303034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50105044800).

42431303034 is an abundant number, since it is smaller than the sum of its proper divisors (57778786566).

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

42431303034 is a wasteful number, since it uses less digits than its factorization.

42431303034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172124 (or 172118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42431303034 its reverse (43030313424), we get a palindrome (85461616458).

The spelling of 42431303034 in words is "forty-two billion, four hundred thirty-one million, three hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 269 306 459 538 807 918 1614 2421 4573 4842 7263 9146 13719 14526 27438 41157 82314 123471 171827 246942 343654 515481 1030962 1546443 2921059 3092886 4639329 5842118 8763177 9278658 17526354 26289531 46221463 52579062 78868593 92442926 138664389 157737186 277328778 415993167 785764871 831986334 1247979501 1571529742 2357294613 2495959002 4714589226 7071883839 14143767678 21215651517 42431303034