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42010101112014 = 232741079084589
BaseRepresentation
bin10011000110101001111010…
…01001110101110011001110
312111202010102011210112000100
421203110331021311303032
521001243141341041024
6225203101331111530
711564062316430000
oct1143247511656316
9174663364715010
1042010101112014
1112427424970912
124865a09a425a6
131a596c675bc99
14a5342a6cc370
154ccba48cb7c9
hex26353d275cce

42010101112014 has 120 divisors (see below), whose sum is σ = 107178284917080. Its totient is φ = 11890708218144.

The previous prime is 42010101111989. The next prime is 42010101112043. The reversal of 42010101112014 is 41021110101024.

42010101112014 is a `hidden beast` number, since 420 + 10 + 101 + 1 + 120 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82032 + ... + 9166620.

It is an arithmetic number, because the mean of its divisors is an integer number (893152374309).

Almost surely, 242010101112014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42010101112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53589142458540).

42010101112014 is an abundant number, since it is smaller than the sum of its proper divisors (65168183805066).

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

42010101112014 is a wasteful number, since it uses less digits than its factorization.

42010101112014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084732 (or 9084708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 42010101112014 its reverse (41021110101024), we get a palindrome (83031211213038).

The spelling of 42010101112014 in words is "forty-two trillion, ten billion, one hundred one million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 107 126 147 214 294 321 343 441 642 686 749 882 963 1029 1498 1926 2058 2247 2401 3087 4494 4802 5243 6174 6741 7203 10486 13482 14406 15729 21609 31458 36701 43218 47187 73402 94374 110103 220206 256907 330309 513814 660618 770721 1541442 2312163 4624326 9084589 18169178 27253767 54507534 63592123 81761301 127184246 163522602 190776369 381552738 445144861 572329107 890289722 972051023 1144658214 1335434583 1944102046 2670869166 2916153069 3116014027 4006303749 5832306138 6232028054 6804357161 8012607498 8748459207 9348042081 13608714322 17496918414 18696084162 20413071483 21812098189 28044126243 40826142966 43624196378 47630500127 56088252486 61239214449 65436294567 95261000254 122478428898 130872589134 142891500381 196308883701 285783000762 333413500889 392617767402 428674501143 666827001778 857349002286 1000240502667 2000481005334 2333894506223 3000721508001 4667789012446 6001443016002 7001683518669 14003367037338 21005050556007 42010101112014