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245442223104 = 2103136145889
BaseRepresentation
bin1110010010010101111…
…1110001110000000000
3212110112021211210121120
43210211133301300000
513010131202114404
6304430554352240
723506200321321
oct3444537616000
9773467753546
10245442223104
1195100810a91
123b69a12b680
131a1b6a362a0
14bc45386448
1565b7b169d9
hex39257f1c00

245442223104 has 88 divisors (see below), whose sum is σ = 704515662480. Its totient is φ = 75520671744.

The previous prime is 245442223051. The next prime is 245442223123. The reversal of 245442223104 is 401322244542.

It is a super-2 number, since 2×2454422231042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3033009 + ... + 3112880.

Almost surely, 2245442223104 is an apocalyptic number.

245442223104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245442223104 is an abundant number, since it is smaller than the sum of its proper divisors (459073439376).

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

245442223104 is a wasteful number, since it uses less digits than its factorization.

245442223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145925 (or 6145907 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 245442223104 its reverse (401322244542), we get a palindrome (646764467646).

The spelling of 245442223104 in words is "two hundred forty-five billion, four hundred forty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 6145889 12291778 18437667 24583556 36875334 49167112 73750668 79896557 98334224 147501336 159793114 196668448 239689671 295002672 319586228 393336896 479379342 590005344 639172456 786673792 958758684 1180010688 1278344912 1573347584 1917517368 2360021376 2556689824 3146695168 3835034736 4720042752 5113379648 6293390336 7670069472 9440085504 10226759296 15340138944 18880171008 20453518592 30680277888 40907037184 61360555776 81814074368 122721111552 245442223104