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42454455445424 = 24112101753728807
BaseRepresentation
bin10011010011100101100101…
…01111000110011110110000
312120022121100222212111000102
421221302302233012132300
521031033211043223144
6230143150234411532
711641142661101261
oct1151626257063660
9176277328774012
1042454455445424
111258891934a400
124917b5b290ba8
131a8c5902b3a09
14a6ab4148a968
154d95101c4b4e
hex269cb2bc67b0

42454455445424 has 120 divisors (see below), whose sum is σ = 91323542148384. Its totient is φ = 19103217408000.

The previous prime is 42454455445403. The next prime is 42454455445427.

It is a happy number.

42454455445424 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 42454455445424.

It is not an unprimeable number, because it can be changed into a prime (42454455445427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473740429 + ... + 1473769235.

Almost surely, 242454455445424 is an apocalyptic number.

42454455445424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42454455445424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661771074192).

42454455445424 is an abundant number, since it is smaller than the sum of its proper divisors (48869086702960).

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

42454455445424 is a wasteful number, since it uses less digits than its factorization.

42454455445424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36475 (or 36458 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 56.

The spelling of 42454455445424 in words is "forty-two trillion, four hundred fifty-four billion, four hundred fifty-five million, four hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1616 1936 2222 4444 7537 8888 12221 15074 17776 24442 28807 30148 48884 57614 60296 82907 97768 115228 120592 165814 195536 230456 316877 331628 460912 633754 663256 761237 911977 1267508 1326512 1522474 1823954 2535016 2909507 3044948 3485647 3647908 5070032 5819014 6089896 6971294 7295816 8373607 11638028 12179792 13942588 14591632 16747214 23276056 27885176 32004577 33494428 46552112 55770352 64009154 66988856 92109677 128018308 133977712 184219354 217118359 256036616 352050347 368438708 434236718 512073232 704100694 736877416 868473436 1408201388 1473754832 1736946872 2388301949 2816402776 3473893744 4776603898 5632805552 9553207796 19106415592 21928954259 26271321439 38212831184 43857908518 52542642878 87715817036 105085285756 175431634072 210170571512 241218496849 350863268144 420341143024 482436993698 964873987396 1929747974792 2653403465339 3859495949584 5306806930678 10613613861356 21227227722712 42454455445424