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422414521344 = 2103315278303
BaseRepresentation
bin1100010010110011101…
…11100001010000000000
31111101022210110000212000
412021121313201100000
523410101104140334
6522015441104000
742342553121514
oct6113167412000
91441283400760
10422414521344
11153165a92002
1269a49928000
1330aab31741a
1416633008144
15aec4608299
hex6259de1400

422414521344 has 88 divisors (see below), whose sum is σ = 1250987531520. Its totient is φ = 140804831232.

The previous prime is 422414521343. The next prime is 422414521379. The reversal of 422414521344 is 443125414224.

422414521344 is a `hidden beast` number, since 4 + 22 + 414 + 5 + 213 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422414521299 and 422414521308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422414521343) 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, 7611504 + ... + 7666799.

Almost surely, 2422414521344 is an apocalyptic number.

It is an amenable number.

422414521344 is an abundant number, since it is smaller than the sum of its proper divisors (828573010176).

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

422414521344 is a wasteful number, since it uses less digits than its factorization.

422414521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278332 (or 15278308 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 422414521344 its reverse (443125414224), we get a palindrome (865539935568).

The spelling of 422414521344 in words is "four hundred twenty-two billion, four hundred fourteen million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 15278303 30556606 45834909 61113212 91669818 122226424 137504727 183339636 244452848 275009454 366679272 412514181 488905696 550018908 733358544 825028362 977811392 1100037816 1466717088 1650056724 1955622784 2200075632 2933434176 3300113448 3911245568 4400151264 5866868352 6600226896 7822491136 8800302528 11733736704 13200453792 15644982272 17600605056 23467473408 26400907584 35201210112 46934946816 52801815168 70402420224 105603630336 140804840448 211207260672 422414521344