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414242122203 = 327131743169031
BaseRepresentation
bin1100000011100101100…
…00010010100111011011
31110121020020122010210100
412001302300102213123
523241331440402303
6514144502150443
741633206641120
oct6016260224733
91417206563710
10414242122203
1114a751973628
1268348a22423
13300a8161ca0
14160998a4747
15ab96e068a3
hex6072c129db

414242122203 has 96 divisors (see below), whose sum is σ = 781570363392. Its totient is φ = 205168204800.

The previous prime is 414242122199. The next prime is 414242122211. The reversal of 414242122203 is 302221242414.

It is a happy number.

414242122203 is a `hidden beast` number, since 4 + 1 + 424 + 2 + 12 + 220 + 3 = 666.

It is not a de Polignac number, because 414242122203 - 22 = 414242122199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414242122213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5966298 + ... + 6035328.

It is an arithmetic number, because the mean of its divisors is an integer number (8141357952).

Almost surely, 2414242122203 is an apocalyptic number.

414242122203 is a deficient number, since it is larger than the sum of its proper divisors (367328241189).

414242122203 is a wasteful number, since it uses less digits than its factorization.

414242122203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69505 (or 69502 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414242122203 its reverse (302221242414), we get a palindrome (716463364617).

The spelling of 414242122203 in words is "four hundred fourteen billion, two hundred forty-two million, one hundred twenty-two thousand, two hundred three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 431 663 819 1071 1293 1547 1989 3017 3879 4641 5603 7327 9051 13923 16809 21981 27153 39221 50427 51289 65943 69031 95251 117663 153867 207093 285753 352989 461601 483217 621279 666757 857259 897403 1173527 1449651 2000271 2692209 3520581 4348953 6000813 6281821 8076627 8214689 10561743 15255851 18845463 24644067 29752361 45767553 56536389 73932201 89257083 106790957 137302659 208266527 267771249 320372871 386780693 505790137 624799581 961118613 1160342079 1517370411 1874398743 2707464851 3481026237 3540530959 4552111233 6575271781 8122394553 10621592877 19725815343 24367183659 31864778631 46026902467 59177446029 138080707401 414242122203