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2140244132 = 22131937127461
BaseRepresentation
bin111111110010001…
…1000100010100100
312112011020200000012
41333210120202210
513340400303012
6552212505352
7104015526545
oct17744304244
95464220005
102140244132
119a9126104
124b891b258
1328153b860
141643644cc
15c7d66622
hex7f9188a4

2140244132 has 96 divisors (see below), whose sum is σ = 4404449280. Its totient is φ = 901393920.

The previous prime is 2140244129. The next prime is 2140244137. The reversal of 2140244132 is 2314420412.

It is a junction number, because it is equal to n+sod(n) for n = 2140244098 and 2140244107.

It is not an unprimeable number, because it can be changed into a prime (2140244137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4642382 + ... + 4642842.

It is an arithmetic number, because the mean of its divisors is an integer number (45879680).

Almost surely, 22140244132 is an apocalyptic number.

It is an amenable number.

2140244132 is an abundant number, since it is smaller than the sum of its proper divisors (2264205148).

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

2140244132 is a wasteful number, since it uses less digits than its factorization.

2140244132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2140244132 is about 46262.7726363217. The cubic root of 2140244132 is about 1288.7077442358.

Adding to 2140244132 its reverse (2314420412), we get a palindrome (4454664544).

The spelling of 2140244132 in words is "two billion, one hundred forty million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 127 148 247 254 461 481 494 508 703 922 962 988 1406 1651 1844 1924 2413 2812 3302 4699 4826 5993 6604 8759 9139 9398 9652 11986 17057 17518 18278 18796 23972 31369 34114 35036 36556 58547 61087 62738 68228 89281 113867 117094 122174 125476 178562 221741 227734 234188 244348 324083 357124 443482 455468 648166 761111 886964 1112393 1160653 1296332 1522222 2166239 2224786 2321306 3044444 4213079 4332478 4449572 4642612 8426158 8664956 14461109 16852316 28161107 28922218 41158541 56322214 57844436 82317082 112644428 164634164 535061033 1070122066 2140244132