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42361448256 = 263379310313
BaseRepresentation
bin100111011100111100…
…000110011101000000
311001100020112112112000
4213130330012131000
51143224012321011
631243252504000
73026520240411
oct473474063500
9131306475460
1042361448256
1116a68a2a076
12826291b000
133cc139091a
14209c073808
15117de95356
hex9dcf06740

42361448256 has 112 divisors (see below), whose sum is σ = 126111609600. Its totient is φ = 13941697536.

The previous prime is 42361448251. The next prime is 42361448257. The reversal of 42361448256 is 65284416324.

42361448256 is a `hidden beast` number, since 4 + 2 + 3 + 614 + 4 + 8 + 25 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42361448251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18645 + ... + 291668.

Almost surely, 242361448256 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 42361448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63055804800).

42361448256 is an abundant number, since it is smaller than the sum of its proper divisors (83750161344).

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

42361448256 is a wasteful number, since it uses less digits than its factorization.

42361448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310413 (or 310397 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 42361448256 in words is "forty-two billion, three hundred sixty-one million, four hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 34128 45504 68256 136512 310313 620626 930939 1241252 1861878 2482504 2792817 3723756 4965008 5585634 7447512 8378451 9930016 11171268 14895024 16756902 19860032 22342536 24514727 29790048 33513804 44685072 49029454 59580096 67027608 73544181 89370144 98058908 134055216 147088362 178740288 196117816 220632543 268110432 294176724 392235632 441265086 536220864 588353448 661897629 784471264 882530172 1176706896 1323795258 1568942528 1765060344 2353413792 2647590516 3530120688 4706827584 5295181032 7060241376 10590362064 14120482752 21180724128 42361448256