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2132141436 = 22323111531657
BaseRepresentation
bin111111100010101…
…1110010101111100
312111121000000012100
41333011132111330
513331312011221
6551323105100
7103556621535
oct17705362574
95447000170
102132141436
119a45a1467
124b6072190
1327c962769
1416325568c
15c72b5926
hex7f15e57c

2132141436 has 72 divisors (see below), whose sum is σ = 5571622784. Its totient is φ = 686776320.

The previous prime is 2132141413. The next prime is 2132141489. The reversal of 2132141436 is 6341412312.

It is a happy number.

2132141436 is a `hidden beast` number, since 2 + 13 + 214 + 1 + 436 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285920 + ... + 1287576.

Almost surely, 22132141436 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 2132141436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785811392).

2132141436 is an abundant number, since it is smaller than the sum of its proper divisors (3439481348).

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

2132141436 is a wasteful number, since it uses less digits than its factorization.

2132141436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2846 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2132141436 is about 46175.1170653632. The cubic root of 2132141436 is about 1287.0793922657.

Adding to 2132141436 its reverse (6341412312), we get a palindrome (8473553748).

The spelling of 2132141436 in words is "two billion, one hundred thirty-two million, one hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1153 1657 2306 3314 3459 4612 4971 6628 6918 9942 10377 13836 14913 19884 20754 29826 35743 41508 51367 59652 71486 102734 107229 142972 154101 205468 214458 308202 321687 428916 462303 616404 643374 924606 1286748 1849212 1910521 3821042 5731563 7642084 11463126 17194689 22926252 34389378 59226151 68778756 118452302 177678453 236904604 355356906 533035359 710713812 1066070718 2132141436