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42124214202 = 237231273131097
BaseRepresentation
bin100111001110110011…
…000111111110111010
311000201201010210120120
4213032303013332322
51142232244323302
631203540034110
73020606625060
oct471663077672
9130651123516
1042124214202
1116957025674
1281b7392936
133c8419aa45
14207875c030
1511682339bc
hex9cecc7fba

42124214202 has 128 divisors (see below), whose sum is σ = 101677400064. Its totient is φ = 11374691328.

The previous prime is 42124214183. The next prime is 42124214213. The reversal of 42124214202 is 20241242124.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38398918 + ... + 38400014.

It is an arithmetic number, because the mean of its divisors is an integer number (794354688).

Almost surely, 242124214202 is an apocalyptic number.

42124214202 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 42124214202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50838700032).

42124214202 is an abundant number, since it is smaller than the sum of its proper divisors (59553185862).

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

42124214202 is a wasteful number, since it uses less digits than its factorization.

42124214202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42124214202 its reverse (20241242124), we get a palindrome (62365456326).

The spelling of 42124214202 in words is "forty-two billion, one hundred twenty-four million, two hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 127 138 161 254 313 322 381 483 626 762 889 939 966 1097 1778 1878 2191 2194 2667 2921 3291 4382 5334 5842 6573 6582 7199 7679 8763 13146 14398 15358 17526 20447 21597 23037 25231 39751 40894 43194 46074 50393 50462 61341 75693 79502 100786 119253 122682 139319 151179 151386 176617 238506 278257 278638 302358 343361 353234 417957 529851 556514 686722 834771 835914 914273 975233 1030083 1059702 1669542 1828546 1950466 2060166 2403527 2742819 2925699 3204337 4807054 5485638 5851398 6399911 6408674 7210581 7897303 9613011 12799822 14421162 15794606 19199733 19226022 22430359 23691909 38399466 43606847 44860718 47383818 55281121 67291077 87213694 110562242 130820541 134582154 165843363 261641082 305247929 331686726 610495858 915743787 1002957481 1831487574 2005914962 3008872443 6017744886 7020702367 14041404734 21062107101 42124214202