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420130000243134 = 232487122727210839
BaseRepresentation
bin101111110000110110010001…
…1011011001000100110111110
32001002120000222002010012221100
41133201230203123020212332
5420031402220030240014
64045313020241313530
7154331251026543366
oct13741544333104676
92032500862105840
10420130000243134
111119591504094a5
123b1540130358a6
131505712078cb7c
1475a6586dd59a6
15338882ad75009
hex17e1b236c89be

420130000243134 has 48 divisors (see below), whose sum is σ = 910512924572160. Its totient is φ = 140007758217360.

The previous prime is 420130000243127. The next prime is 420130000243147. The reversal of 420130000243134 is 431342000031024.

420130000243134 is a `hidden beast` number, since 4 + 20 + 1 + 300 + 0 + 0 + 24 + 313 + 4 = 666.

It is a super-2 number, since 2×4201300002431342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420130000243098 and 420130000243107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1992552487 + ... + 1992763325.

It is an arithmetic number, because the mean of its divisors is an integer number (18969019261920).

Almost surely, 2420130000243134 is an apocalyptic number.

420130000243134 is an abundant number, since it is smaller than the sum of its proper divisors (490382924329026).

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

420130000243134 is a wasteful number, since it uses less digits than its factorization.

420130000243134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238445 (or 238442 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 420130000243134 its reverse (431342000031024), we get a palindrome (851472000274158).

The spelling of 420130000243134 in words is "four hundred twenty trillion, one hundred thirty billion, two hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 4871 9742 14613 22727 29226 43839 45454 68181 87678 136362 204543 210839 409086 421678 632517 1265034 1897551 3795102 110703217 221406434 332109651 664219302 996328953 1026996769 1992657906 2053993538 3080990307 4791737953 6161980614 9242970921 9583475906 14375213859 18485941842 28750427718 43125641577 86251283154 23340555569063 46681111138126 70021666707189 140043333414378 210065000121567 420130000243134