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2142001404 = 22321916371913
BaseRepresentation
bin111111110101100…
…0101100011111100
312112021112221112100
41333223011203330
513341323021104
6552314305100
7104036466024
oct17753054374
95467487470
102142001404
119aa1163a4
124b9428190
13281a0566a
141646a0a84
15c80b2139
hex7fac58fc

2142001404 has 72 divisors (see below), whose sum is σ = 5705940240. Its totient is φ = 675654912.

The previous prime is 2142001391. The next prime is 2142001409. The reversal of 2142001404 is 4041002412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142001409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118752 + ... + 1120664.

It is an arithmetic number, because the mean of its divisors is an integer number (79249170).

Almost surely, 22142001404 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 2142001404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852970120).

2142001404 is an abundant number, since it is smaller than the sum of its proper divisors (3563938836).

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

2142001404 is a wasteful number, since it uses less digits than its factorization.

2142001404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2142001404 is about 46281.7610295892. The cubic root of 2142001404 is about 1289.0603505093.

Adding to 2142001404 its reverse (4041002412), we get a palindrome (6183003816).

The spelling of 2142001404 in words is "two billion, one hundred forty-two million, one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1637 1913 3274 3826 4911 5739 6548 7652 9822 11478 14733 17217 19644 22956 29466 31103 34434 36347 58932 62206 68868 72694 93309 109041 124412 145388 186618 218082 279927 327123 373236 436164 559854 654246 1119708 1308492 3131581 6263162 9394743 12526324 18789486 28184229 37578972 56368458 59500039 112736916 119000078 178500117 238000156 357000234 535500351 714000468 1071000702 2142001404