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42243434224 = 2441101727877
BaseRepresentation
bin100111010101111001…
…111010011011110000
311001001000110210200221
4213111321322123300
51143003304343344
631223435222424
73023555160235
oct472571723360
9131030423627
1042243434224
1116a08354412
12822b2a7a14
133ca2ab0934
14208a51378c
151173933184
hex9d5e7a6f0

42243434224 has 80 divisors (see below), whose sum is σ = 84886191936. Its totient is φ = 20351232000.

The previous prime is 42243434203. The next prime is 42243434251.

42243434224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42243434224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48167674 + ... + 48168550.

Almost surely, 242243434224 is an apocalyptic number.

It is an amenable number.

42243434224 is an abundant number, since it is smaller than the sum of its proper divisors (42642757712).

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

42243434224 is a wasteful number, since it uses less digits than its factorization.

42243434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1748 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

The spelling of 42243434224 in words is "forty-two billion, two hundred forty-three million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 101 164 202 328 404 656 727 808 877 1454 1616 1754 2908 3508 4141 5816 7016 8282 11632 14032 16564 29807 33128 35957 59614 66256 71914 73427 88577 119228 143828 146854 177154 238456 287656 293708 354308 476912 575312 587416 637579 708616 1174832 1275158 1417232 2550316 3010507 3631657 5100632 6021014 7263314 10201264 12042028 14526628 24084056 26140739 29053256 48168112 52281478 58106512 64395479 104562956 128790958 209125912 257581916 418251824 515163832 1030327664 2640214639 5280429278 10560858556 21121717112 42243434224