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42034203414 = 232737195891
BaseRepresentation
bin100111001001011011…
…110000101100010110
311000111102202202222200
4213021123300230112
51142041224002124
631151002505330
73015434556000
oct471133605426
9130442682880
1042034203414
1116910237195
128191205246
133c6b643c18
14206a80b370
1511603a3bc9
hex9c96f0b16

42034203414 has 96 divisors (see below), whose sum is σ = 107705894400. Its totient is φ = 11840497200.

The previous prime is 42034203397. The next prime is 42034203433. The reversal of 42034203414 is 41430243024.

It is a happy number.

42034203414 is a `hidden beast` number, since 4 + 203 + 42 + 0 + 3 + 414 = 666.

42034203414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390409 + ... + 486299.

It is an arithmetic number, because the mean of its divisors is an integer number (1121936400).

Almost surely, 242034203414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42034203414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53852947200).

42034203414 is an abundant number, since it is smaller than the sum of its proper divisors (65671690986).

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

42034203414 is a wasteful number, since it uses less digits than its factorization.

42034203414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95991 (or 95974 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42034203414 its reverse (41430243024), we get a palindrome (83464446438).

The spelling of 42034203414 in words is "forty-two billion, thirty-four million, two hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 343 426 441 497 639 686 882 994 1029 1278 1491 2058 2982 3087 3479 4473 6174 6958 8946 10437 20874 24353 31311 48706 62622 73059 95891 146118 191782 219177 287673 438354 575346 671237 863019 1342474 1726038 2013711 4027422 4698659 6041133 6808261 9397318 12082266 13616522 14095977 20424783 28191954 32890613 40849566 42287931 47657827 61274349 65781226 84575862 95315654 98671839 122548698 142973481 197343678 285946962 296015517 333604789 428920443 592031034 667209578 857840886 1000814367 2001628734 2335233523 3002443101 4670467046 6004886202 7005700569 14011401138 21017101707 42034203414