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42121421312 = 292313925733
BaseRepresentation
bin100111001110101000…
…011110001000000000
311000201111212220110012
4213032220132020000
51142231040440222
631203400124052
73020544113405
oct471650361000
9130644786405
1042121421312
11169554982a3
1281b6466628
133c83730749
1420782322ac
151167d811e2
hex9cea1e200

42121421312 has 80 divisors (see below), whose sum is σ = 88454963520. Its totient is φ = 19999322112.

The previous prime is 42121421311. The next prime is 42121421327. The reversal of 42121421312 is 21312412124.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (42121421311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623998 + ... + 1649730.

It is an arithmetic number, because the mean of its divisors is an integer number (1105687044).

Almost surely, 242121421312 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 42121421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44227481760).

42121421312 is an abundant number, since it is smaller than the sum of its proper divisors (46333542208).

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

42121421312 is a wasteful number, since it uses less digits than its factorization.

42121421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913 (or 25897 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

Adding to 42121421312 its reverse (21312412124), we get a palindrome (63433833436).

The spelling of 42121421312 in words is "forty-two billion, one hundred twenty-one million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 512 556 736 1112 1472 2224 2944 3197 4448 5888 6394 8896 11776 12788 17792 25576 25733 35584 51152 51466 71168 102304 102932 204608 205864 409216 411728 591859 818432 823456 1183718 1636864 1646912 2367436 3293824 3576887 4734872 6587648 7153774 9469744 13175296 14307548 18939488 28615096 37878976 57230192 75757952 82268401 114460384 151515904 164536802 228920768 303031808 329073604 457841536 658147208 915683072 1316294416 1831366144 2632588832 5265177664 10530355328 21060710656 42121421312