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42454277245424 = 24111935413585331
BaseRepresentation
bin10011010011100101010000…
…00111010100100111110000
312120022120220120112222120102
421221302220013110213300
521031032324433323144
6230143120431131532
711641135365320612
oct1151625007244760
9176276816488512
1042454277245424
11125888377a7080
124917b0b673ba8
131a8c5623c0225
14a6ab25940db2
154d94ee724b4e
hex269ca81d49f0

42454277245424 has 80 divisors (see below), whose sum is σ = 94482389823360. Its totient is φ = 18276578208000.

The previous prime is 42454277245409. The next prime is 42454277245441.

42454277245424 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 42454277245424.

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, 10048439 + ... + 13633769.

It is an arithmetic number, because the mean of its divisors is an integer number (1181029872792).

Almost surely, 242454277245424 is an apocalyptic number.

42454277245424 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 42454277245424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47241194911680).

42454277245424 is an abundant number, since it is smaller than the sum of its proper divisors (52028112577936).

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

42454277245424 is a wasteful number, since it uses less digits than its factorization.

42454277245424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588910 (or 3588904 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 56.

The spelling of 42454277245424 in words is "forty-two trillion, four hundred fifty-four billion, two hundred seventy-seven million, two hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 3541 7082 14164 28328 38951 56656 67279 77902 134558 155804 269116 311608 538232 623216 740069 1076464 1480138 2960276 3585331 5920552 7170662 11841104 14341324 28682648 39438641 57365296 68121289 78877282 136242578 157754564 272485156 315509128 544970312 631018256 749334179 1089940624 1498668358 2997336716 5994673432 11989346864 12695657071 25391314142 50782628284 101565256568 139652227781 203130513136 241217484349 279304455562 482434968698 558608911124 964869937396 1117217822248 1929739874792 2234435644496 2653392327839 3859479749584 5306784655678 10613569311356 21227138622712 42454277245424