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2131401040 = 245791632069
BaseRepresentation
bin111111100001010…
…1001100101010000
312111112121101120021
41333002221211100
513331114313130
6551255153224
7103550416126
oct17702514520
95445541507
102131401040
119a413616a
124b5975814
1327c763762
14163101916
15c71bb37a
hex7f0a9950

2131401040 has 80 divisors (see below), whose sum is σ = 5051462400. Its totient is φ = 836199936.

The previous prime is 2131401011. The next prime is 2131401059. The reversal of 2131401040 is 401041312.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1029126 + ... + 1031194.

It is an arithmetic number, because the mean of its divisors is an integer number (63143280).

Almost surely, 22131401040 is an apocalyptic number.

2131401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525731200).

2131401040 is an abundant number, since it is smaller than the sum of its proper divisors (2920061360).

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

2131401040 is a wasteful number, since it uses less digits than its factorization.

2131401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131401040 is about 46167.0991074813. The cubic root of 2131401040 is about 1286.9303935885.

Adding to 2131401040 its reverse (401041312), we get a palindrome (2532442352).

The spelling of 2131401040 in words is "two billion, one hundred thirty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 163 316 326 395 632 652 790 815 1264 1304 1580 1630 2069 2608 3160 3260 4138 6320 6520 8276 10345 12877 13040 16552 20690 25754 33104 41380 51508 64385 82760 103016 128770 163451 165520 206032 257540 326902 337247 515080 653804 674494 817255 1030160 1307608 1348988 1634510 1686235 2615216 2697976 3269020 3372470 5395952 6538040 6744940 13076080 13489880 26642513 26979760 53285026 106570052 133212565 213140104 266425130 426280208 532850260 1065700520 2131401040