Search a number
-
+
44423133434000 = 245363079352123
BaseRepresentation
bin10100001100111000100010…
…00101101001000010010000
312211021210212112211021212022
422012130101011221002100
521310312034124342000
6234251412240151012
712233315441642636
oct1206342105510220
9184253775737768
1044423133434000
1113177821795432
124b95601608468
131ba311160c1c9
14ad813c0c1356
1552083348b585
hex286711169090

44423133434000 has 80 divisors (see below), whose sum is σ = 107417144565120. Its totient is φ = 17768921212800.

The previous prime is 44423133433993. The next prime is 44423133434059. The reversal of 44423133434000 is 43433132444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×444231334340003 (a number of 42 digits) contains 333 as substring.

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, 125981939 + ... + 126334061.

It is an arithmetic number, because the mean of its divisors is an integer number (1342714307064).

Almost surely, 244423133434000 is an apocalyptic number.

44423133434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44423133434000 is an abundant number, since it is smaller than the sum of its proper divisors (62994011131120).

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

44423133434000 is a wasteful number, since it uses less digits than its factorization.

44423133434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415225 (or 415209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 44423133434000 its reverse (43433132444), we get a palindrome (44466566566444).

The spelling of 44423133434000 in words is "forty-four trillion, four hundred twenty-three billion, one hundred thirty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 63079 126158 252316 315395 352123 504632 630790 704246 1009264 1261580 1408492 1576975 1760615 2523160 2816984 3153950 3521230 5046320 5633968 6307900 7042460 7884875 8803075 12615800 14084920 15769750 17606150 25231600 28169840 31539500 35212300 44015375 63079000 70424600 88030750 126158000 140849200 176061500 352123000 704246000 22211566717 44423133434 88846266868 111057833585 177692533736 222115667170 355385067472 444231334340 555289167925 888462668680 1110578335850 1776925337360 2221156671700 2776445839625 4442313343400 5552891679250 8884626686800 11105783358500 22211566717000 44423133434000