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441420214312 = 237113142154907
BaseRepresentation
bin1100110110001101011…
…00011111000000101000
31120012101100000021021101
412123012230133000220
524213012033324222
6534441411051144
743614542625220
oct6330654370050
91505340007241
10441420214312
11160229226480
12716728a0ab4
13328199c91ac
1417517225080
15b737e19927
hex66c6b1f028

441420214312 has 128 divisors (see below), whose sum is σ = 1067727790080. Its totient is φ = 166035744000.

The previous prime is 441420214259. The next prime is 441420214381. The reversal of 441420214312 is 213412024144.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8011963 + ... + 8066869.

It is an arithmetic number, because the mean of its divisors is an integer number (8341623360).

Almost surely, 2441420214312 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 441420214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533863895040).

441420214312 is an abundant number, since it is smaller than the sum of its proper divisors (626307575768).

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

441420214312 is a wasteful number, since it uses less digits than its factorization.

441420214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55383 (or 55379 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 441420214312 its reverse (213412024144), we get a palindrome (654832238456).

The spelling of 441420214312 in words is "four hundred forty-one billion, four hundred twenty million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 421 434 616 682 842 868 1364 1684 1736 2387 2728 2947 3368 4631 4774 5894 9262 9548 11788 13051 18524 19096 23576 26102 32417 37048 52204 54907 64834 91357 104408 109814 129668 143561 182714 219628 259336 287122 365428 384349 439256 574244 603977 730856 768698 1004927 1148488 1207954 1537396 1702117 2009854 2415908 3074792 3404234 4019708 4227839 4831816 6808468 8039416 8455678 11914819 13616936 16911356 18723287 23115847 23829638 33822712 37446574 46231694 47659276 74893148 92463388 95318552 131063009 149786296 161810929 184926776 254274317 262126018 323621858 508548634 524252036 647243716 716591257 1017097268 1048504072 1294487432 1433182514 1779920219 2034194536 2866365028 3559840438 5016138799 5732730056 7119680876 7882503827 10032277598 14239361752 15765007654 20064555196 31530015308 40129110392 55177526789 63060030616 110355053578 220710107156 441420214312