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441631056780 = 2232554115592909
BaseRepresentation
bin1100110110100110100…
…00110010001110001100
31120012221000202011202200
412123103100302032030
524213430022304110
6534514342121500
743623013021254
oct6332320621614
91505830664680
10441631056780
11160327244551
1271711420290
13328515ab654
141753722a964
15b74b6b66c0
hex66d343238c

441631056780 has 144 divisors (see below), whose sum is σ = 1343412907200. Its totient is φ = 117434810880.

The previous prime is 441631056743. The next prime is 441631056781. The reversal of 441631056780 is 87650136144.

441631056780 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 3 + 1 + 0 + 567 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (441631056781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151813966 + ... + 151816874.

It is an arithmetic number, because the mean of its divisors is an integer number (9329256300).

Almost surely, 2441631056780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441631056780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671706453600).

441631056780 is an abundant number, since it is smaller than the sum of its proper divisors (901781850420).

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

441631056780 is a wasteful number, since it uses less digits than its factorization.

441631056780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 441631056780 in words is "four hundred forty-one billion, six hundred thirty-one million, fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 541 1082 1559 1623 2164 2705 2909 3118 3246 4677 4869 5410 5818 6236 6492 7795 8115 8727 9354 9738 10820 11636 14031 14545 15590 16230 17454 18708 19476 23385 24345 26181 28062 29090 31180 32460 34908 43635 46770 48690 52362 56124 58180 70155 87270 93540 97380 104724 130905 140310 174540 261810 280620 523620 843419 1573769 1686838 2530257 3147538 3373676 4217095 4535131 4721307 5060514 6295076 7590771 7868845 8434190 9070262 9442614 10121028 12651285 13605393 14163921 15181542 15737690 16868380 18140524 18885228 22675655 23606535 25302570 27210786 28327842 30363084 31475380 37953855 40816179 45351310 47213070 50605140 54421572 56655684 68026965 70819605 75907710 81632358 90702620 94426140 136053930 141639210 151815420 163264716 204080895 272107860 283278420 408161790 816323580 2453505871 4907011742 7360517613 9814023484 12267529355 14721035226 22081552839 24535058710 29442070452 36802588065 44163105678 49070117420 73605176130 88326211356 110407764195 147210352260 220815528390 441631056780