Search a number
-
+
440981007804 = 2232139214141161
BaseRepresentation
bin1100110101011001000…
…01000010110110111100
31120011020201120021012200
412122230201002312330
524211112114222204
6534330041231500
743600630501611
oct6325441026674
91504221507180
10440981007804
11160023312097
127156b792590
1332779a0b29c
14174b4b76508
15b70e5ae539
hex66ac842dbc

440981007804 has 72 divisors (see below), whose sum is σ = 1123273110960. Its totient is φ = 145864454400.

The previous prime is 440981007799. The next prime is 440981007823. The reversal of 440981007804 is 408700189044.

It is a self number, because there is not a number n which added to its sum of digits gives 440981007804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10692984 + ... + 10734144.

It is an arithmetic number, because the mean of its divisors is an integer number (15601015430).

Almost surely, 2440981007804 is an apocalyptic number.

It is an amenable number.

440981007804 is an abundant number, since it is smaller than the sum of its proper divisors (682292103156).

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

440981007804 is a wasteful number, since it uses less digits than its factorization.

440981007804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43451 (or 43446 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 440981007804 in words is "four hundred forty billion, nine hundred eighty-one million, seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2141 2502 4282 5004 6423 8564 12846 19269 25692 38538 41161 77076 82322 123483 164644 246966 297599 370449 493932 595198 740898 892797 1190396 1481796 1785594 2678391 3571188 5356782 5721379 10713564 11442758 17164137 22885516 34328274 51492411 68656548 88125701 102984822 176251402 205969644 264377103 352502804 528754206 793131309 1057508412 1586262618 3172525236 12249472439 24498944878 36748417317 48997889756 73496834634 110245251951 146993669268 220490503902 440981007804