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41230331142 = 237111331221447
BaseRepresentation
bin100110011001100001…
…001110110100000110
310221102102010211112120
4212121201032310012
51133414431044032
630535125030410
72656504014030
oct463141166406
9127372124476
1041230331142
11165384a1040
127ba7b55406
133b70c36660
141dd1b54c50
151114a1462c
hex99984ed06

41230331142 has 128 divisors (see below), whose sum is σ = 114288427008. Its totient is φ = 9566467200.

The previous prime is 41230331123. The next prime is 41230331203. The reversal of 41230331142 is 24113303214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75463 + ... + 296909.

It is an arithmetic number, because the mean of its divisors is an integer number (892878336).

Almost surely, 241230331142 is an apocalyptic number.

41230331142 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 41230331142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57144213504).

41230331142 is an abundant number, since it is smaller than the sum of its proper divisors (73058095866).

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

41230331142 is a wasteful number, since it uses less digits than its factorization.

41230331142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221514.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41230331142 its reverse (24113303214), we get a palindrome (65343634356).

The spelling of 41230331142 in words is "forty-one billion, two hundred thirty million, three hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 186186 221447 442894 664341 1328682 1550129 2435917 2878811 3100258 4650387 4871834 5757622 6864857 7307751 8636433 9300774 13729714 14615502 17051419 17272866 20151677 20594571 31666921 34102838 40303354 41189142 48053999 51154257 60455031 63333842 75513427 89243141 95000763 96107998 102308514 120910062 144161997 151026854 178486282 190001526 221668447 226540281 267729423 288323994 443336894 453080562 528593989 535458846 624701987 665005341 981674551 1057187978 1249403974 1330010682 1585781967 1874105961 1963349102 2945023653 3171563934 3748211922 5890047306 6871721857 13743443714 20615165571 41230331142