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141201132414 = 23293721015869
BaseRepresentation
bin1000001110000000111…
…1100100101101111110
3111111110112211201122220
42003200033210231332
54303134442214124
6144511130150210
713126044552036
oct2034017445576
9444415751586
10141201132414
11549793a3761
1223447b82366
1310413691a34
146b96d748c6
153a163d2879
hex20e03e4b7e

141201132414 has 96 divisors (see below), whose sum is σ = 303273784800. Its totient is φ = 43770585600.

The previous prime is 141201132389. The next prime is 141201132427. The reversal of 141201132414 is 414231102141.

It is a happy number.

141201132414 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412011324142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24055872 + ... + 24061740.

It is an arithmetic number, because the mean of its divisors is an integer number (3159101925).

Almost surely, 2141201132414 is an apocalyptic number.

141201132414 is an abundant number, since it is smaller than the sum of its proper divisors (162072652386).

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

141201132414 is a wasteful number, since it uses less digits than its factorization.

141201132414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 141201132414 its reverse (414231102141), we get a palindrome (555432234555).

The spelling of 141201132414 in words is "one hundred forty-one billion, two hundred one million, one hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 29 37 58 74 87 101 111 174 202 222 303 606 1073 1369 2146 2738 2929 3219 3737 4107 5858 5869 6438 7474 8214 8787 11211 11738 17574 17607 22422 35214 39701 79402 108373 119103 138269 170201 216746 217153 238206 276538 325119 340402 414807 434306 510603 592769 650238 651459 829614 1021206 1185538 1302918 1778307 3556614 4009801 6297437 8019602 8034661 12029403 12594874 16069322 17190301 18892311 21932453 24058806 24103983 34380602 37784622 43864906 48207966 51570903 65797359 103141806 131594718 233005169 466010338 636041137 699015507 811500761 1272082274 1398031014 1623001522 1908123411 2434502283 3816246822 4869004566 23533522069 47067044138 70600566207 141201132414