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420023213412 = 2231123331341759
BaseRepresentation
bin1100001110010110101…
…01011001110101100100
31111011011010210000001120
412013023111121311210
523340201420312122
6520542255053540
742226365256335
oct6071325316544
91434133700046
10420023213412
11152149176a60
12694a0b112b0
13307b9a82c0a
14164875ac28c
15add46ec75c
hex61cb559d64

420023213412 has 96 divisors (see below), whose sum is σ = 1115998248960. Its totient is φ = 121706196480.

The previous prime is 420023213371. The next prime is 420023213413. The reversal of 420023213412 is 214312320024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420023213413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037389 + ... + 10079147.

It is an arithmetic number, because the mean of its divisors is an integer number (11624981760).

Almost surely, 2420023213412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420023213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557999124480).

420023213412 is an abundant number, since it is smaller than the sum of its proper divisors (695975035548).

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

420023213412 is a wasteful number, since it uses less digits than its factorization.

420023213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45113 (or 45111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420023213412 its reverse (214312320024), we get a palindrome (634335533436).

The spelling of 420023213412 in words is "four hundred twenty billion, twenty-three million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3313 6626 9939 13252 19878 36443 39756 41759 72886 76199 83518 109329 125277 145772 152398 167036 218658 228597 250554 304796 437316 457194 459349 501108 838189 914388 918698 960457 1378047 1676378 1837396 1920914 2514567 2756094 2881371 3352756 3841828 5029134 5512188 5762742 10058268 10565027 11525484 21130054 31695081 42260108 63390162 126780324 138347567 276695134 415042701 553390268 830085402 1521823237 1660170804 3043646474 3181994041 4565469711 6087292948 6363988082 9130939422 9545982123 12727976164 18261878844 19091964246 35001934451 38183928492 70003868902 105005803353 140007737804 210011606706 420023213412