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31144044430000 = 245414411216113
BaseRepresentation
bin1110001010011010010011…
…01101001000001010110000
311002021100020000010101200001
413011031021231020022300
513040231000333230000
6150123213153435344
76363040311526525
oct705151155101260
9132240200111601
1031144044430000
119a1812a180217
1235abb1156bb54
13144bb42176508
1479954621d14c
153901dc36146a
hex1c5349b482b0

31144044430000 has 100 divisors (see below), whose sum is σ = 75408427210248. Its totient is φ = 12456695680000.

The previous prime is 31144044429997. The next prime is 31144044430039. The reversal of 31144044430000 is 3444044113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 144001944 + ... + 144218056.

Almost surely, 231144044430000 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 31144044430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37704213605124).

31144044430000 is an abundant number, since it is smaller than the sum of its proper divisors (44264382780248).

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

31144044430000 is a wasteful number, since it uses less digits than its factorization.

31144044430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230552 (or 230531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31144044430000 its reverse (3444044113), we get a palindrome (31147488474113).

The spelling of 31144044430000 in words is "thirty-one trillion, one hundred forty-four billion, forty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 14411 28822 57644 72055 115288 144110 216113 230576 288220 360275 432226 576440 720550 864452 1080565 1152880 1441100 1728904 1801375 2161130 2882200 3457808 3602750 4322260 5402825 5764400 7205500 8644520 9006875 10805650 14411000 17289040 18013750 21611300 27014125 28822000 36027500 43222600 54028250 72055000 86445200 108056500 135070625 144110000 216113000 270141250 432226000 540282500 1080565000 2161130000 3114404443 6228808886 12457617772 15572022215 24915235544 31144044430 49830471088 62288088860 77860111075 124576177720 155720222150 249152355440 311440444300 389300555375 622880888600 778601110750 1245761777200 1557202221500 1946502776875 3114404443000 3893005553750 6228808886000 7786011107500 15572022215000 31144044430000