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41424011204142 = 23721097417174281
BaseRepresentation
bin10010110101100110001110…
…11110010001011000101110
312102200002121120020100200110
421122303013132101120232
520412142333332013032
6224033532242240450
711503533420420300
oct1132630736213056
9172602546210613
1041424011204142
1112220908448426
124790301656126
131a163628c1628
14a32d0b9d9970
154bc800d327cc
hex25acc779162e

41424011204142 has 96 divisors (see below), whose sum is σ = 97272068430240. Its totient is φ = 11725201474560.

The previous prime is 41424011204113. The next prime is 41424011204143. The reversal of 41424011204142 is 24140211042414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424011204143) 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, 237598042 + ... + 237772322.

It is an arithmetic number, because the mean of its divisors is an integer number (1013250712815).

Almost surely, 241424011204142 is an apocalyptic number.

41424011204142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41424011204142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636034215120).

41424011204142 is an abundant number, since it is smaller than the sum of its proper divisors (55848057226098).

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

41424011204142 is a wasteful number, since it uses less digits than its factorization.

41424011204142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181826 (or 181819 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 41424011204142 its reverse (24140211042414), we get a palindrome (65564222246556).

The spelling of 41424011204142 in words is "forty-one trillion, four hundred twenty-four billion, eleven million, two hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 294 327 654 763 1526 2289 4578 5341 7417 10682 14834 16023 22251 32046 44502 51919 103838 155757 174281 311514 348562 363433 522843 726866 808453 1045686 1090299 1219967 1616906 2180598 2425359 2439934 3659901 4850718 5659171 7319802 8539769 11318342 16977513 17079538 18996629 25619307 33955026 37993258 39614197 51238614 56989887 79228394 113979774 118842591 132976403 237685182 265952806 398929209 797858418 930834821 1292642177 1861669642 2585284354 2792504463 3877926531 5585008926 7755853062 9048495239 18096990478 27145485717 54290971434 63339466673 126678933346 140897997293 190018400019 281795994586 380036800038 422693991879 845387983758 986285981051 1972571962102 2958857943153 5917715886306 6904001867357 13808003734714 20712005602071 41424011204142