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31144430000 = 245424112923
BaseRepresentation
bin11101000000010110…
…100100100110110000
32222101111201222012102
4131000112210212300
51002240433230000
622150233115532
72151534200315
oct350026444660
988344658172
1031144430000
1112232245252
126052258ba8
132c24500b08
141716430d0c
15c243393d5
hex7405a49b0

31144430000 has 100 divisors (see below), whose sum is σ = 75722517288. Its totient is φ = 12405120000.

The previous prime is 31144429951. The next prime is 31144430017. The reversal of 31144430000 is 3444113.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2403539 + ... + 2416461.

Almost surely, 231144430000 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 31144430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37861258644).

31144430000 is an abundant number, since it is smaller than the sum of its proper divisors (44578087288).

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

31144430000 is a wasteful number, since it uses less digits than its factorization.

31144430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192 (or 13171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31144430000 its reverse (3444113), we get a palindrome (31147874113).

The spelling of 31144430000 in words is "thirty-one billion, one hundred forty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 625 964 1000 1205 1250 1928 2000 2410 2500 3856 4820 5000 6025 9640 10000 12050 12923 19280 24100 25846 30125 48200 51692 60250 64615 96400 103384 120500 129230 150625 206768 241000 258460 301250 323075 482000 516920 602500 646150 1033840 1205000 1292300 1615375 2410000 2584600 3114443 3230750 5169200 6228886 6461500 8076875 12457772 12923000 15572215 16153750 24915544 25846000 31144430 32307500 49831088 62288860 64615000 77861075 124577720 129230000 155722150 249155440 311444300 389305375 622888600 778610750 1245777200 1557221500 1946526875 3114443000 3893053750 6228886000 7786107500 15572215000 31144430000