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3144140020 = 2257235231867
BaseRepresentation
bin1011101101100111…
…1100010011110100
322010010020212021101
42323121330103310
522414344440040
61235553455444
7140625514660
oct27331742364
98103225241
103144140020
11137386aa2a
12738b71584
133b15110a8
1421b8078a0
1513606709a
hexbb67c4f4

3144140020 has 96 divisors (see below), whose sum is σ = 7893301248. Its totient is φ = 1028598912.

The previous prime is 3144140017. The next prime is 3144140071. The reversal of 3144140020 is 200414413.

It is a self number, because there is not a number n which added to its sum of digits gives 3144140020.

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 31 ways as a sum of consecutive naturals, for example, 1683127 + ... + 1684993.

It is an arithmetic number, because the mean of its divisors is an integer number (82221888).

Almost surely, 23144140020 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 3144140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946650624).

3144140020 is an abundant number, since it is smaller than the sum of its proper divisors (4749161228).

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

3144140020 is a wasteful number, since it uses less digits than its factorization.

3144140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3144140020 is about 56072.6316486038. The cubic root of 3144140020 is about 1464.9876363271.

Adding to 3144140020 its reverse (200414413), we get a palindrome (3344554433).

The spelling of 3144140020 in words is "three billion, one hundred forty-four million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 523 644 805 1046 1610 1867 2092 2615 3220 3661 3734 5230 7322 7468 9335 10460 12029 13069 14644 18305 18670 24058 26138 36610 37340 42941 48116 52276 60145 65345 73220 84203 85882 120290 130690 168406 171764 214705 240580 261380 300587 336812 421015 429410 601174 842030 858820 976441 1202348 1502935 1684060 1952882 3005870 3905764 4882205 6011740 6835087 9764410 13670174 19528820 22458143 27340348 34175435 44916286 68350870 89832572 112290715 136701740 157207001 224581430 314414002 449162860 628828004 786035005 1572070010 3144140020