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2140201312 = 253141101521
BaseRepresentation
bin111111110010000…
…1110000101100000
312112011011111021021
41333210032011200
513340342420222
6552211535224
7104015260654
oct17744160540
95464144237
102140201312
119a90a6a17
124b88ba514
13281525212
14164352a64
15c7d58ac7
hex7f90e160

2140201312 has 96 divisors (see below), whose sum is σ = 4508275968. Its totient is φ = 998400000.

The previous prime is 2140201303. The next prime is 2140201331. The reversal of 2140201312 is 2131020412.

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, 4107612 + ... + 4108132.

It is an arithmetic number, because the mean of its divisors is an integer number (46961208).

Almost surely, 22140201312 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 2140201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254137984).

2140201312 is an abundant number, since it is smaller than the sum of its proper divisors (2368074656).

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

2140201312 is a wasteful number, since it uses less digits than its factorization.

2140201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

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

The square root of 2140201312 is about 46262.3098428948. The cubic root of 2140201312 is about 1288.6991497593.

Adding to 2140201312 its reverse (2131020412), we get a palindrome (4271221724).

Subtracting from 2140201312 its reverse (2131020412), we obtain a square (9180900 = 30302).

The spelling of 2140201312 in words is "two billion, one hundred forty million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 41 62 82 101 124 164 202 248 328 404 496 521 656 808 992 1042 1271 1312 1616 2084 2542 3131 3232 4141 4168 5084 6262 8282 8336 10168 12524 16151 16564 16672 20336 21361 25048 32302 33128 40672 42722 50096 52621 64604 66256 85444 100192 105242 128371 129208 132512 170888 210484 256742 258416 341776 420968 513484 516832 662191 683552 841936 1026968 1324382 1631251 1683872 2053936 2157461 2648764 3262502 4107872 4314922 5297528 6525004 8629844 10595056 13050008 17259688 21190112 26100016 34519376 52200032 66881291 69038752 133762582 267525164 535050328 1070100656 2140201312