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444374533545132 = 223794871987484411
BaseRepresentation
bin110010100001010000000001…
…0001110000001110010101100
32011021101210100021211020210010
41211002200002032001302230
5431221113021041421012
64213034501551013220
7162413000124430221
oct14502400216016254
92137353307736703
10444374533545132
111196561aa403213
1241a0a91820a210
13160c54531a7468
147ba3bb0d39948
153659304adcc3c
hex1942802381cac

444374533545132 has 96 divisors (see below), whose sum is σ = 1052686645534720. Its totient is φ = 145875785440320.

The previous prime is 444374533545071. The next prime is 444374533545133. The reversal of 444374533545132 is 231545335473444.

It is not an unprimeable number, because it can be changed into a prime (444374533545133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917108007 + ... + 917592417.

Almost surely, 2444374533545132 is an apocalyptic number.

It is an amenable number.

444374533545132 is an abundant number, since it is smaller than the sum of its proper divisors (608312111989588).

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

444374533545132 is a wasteful number, since it uses less digits than its factorization.

444374533545132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486971 (or 486969 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 57.

The spelling of 444374533545132 in words is "four hundred forty-four trillion, three hundred seventy-four billion, five hundred thirty-three million, five hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 487 948 974 1461 1948 1987 2922 3974 5844 5961 7948 11922 23844 38473 76946 115419 153892 156973 230838 313946 461676 470919 484411 627892 941838 967669 968822 1453233 1883676 1935338 1937644 2903007 2906466 3870676 5806014 5812932 11612028 38268469 76445851 76536938 114805407 152891702 153073876 229337553 229610814 235908157 305783404 458675106 459221628 471816314 707724471 917350212 943632628 962524657 1415448942 1925049314 2830897884 2887573971 3850098628 5775147942 11550295884 18636744403 37273488806 55910233209 74546977612 76039447903 111820466418 152078895806 223640932836 228118343709 304157791612 456236687418 468749507959 912473374836 937499015918 1406248523877 1874998031836 2812497047754 5624994095508 37031211128761 74062422257522 111093633386283 148124844515044 222187266772566 444374533545132