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2140122432 = 2637332497
BaseRepresentation
bin111111110001111…
…1010110101000000
312112011000111001210
41333203322311000
513340332404212
6552210130120
7104014512000
oct17743726500
95464014053
102140122432
119a9052728
124b8880940
132814c8346
14164332000
15c7d4053c
hex7f8fad40

2140122432 has 112 divisors (see below), whose sum is σ = 6603593600. Its totient is φ = 611444736.

The previous prime is 2140122379. The next prime is 2140122433. The reversal of 2140122432 is 2342210412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2140122399 and 2140122408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140122433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49608 + ... + 82104.

Almost surely, 22140122432 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 2140122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301796800).

2140122432 is an abundant number, since it is smaller than the sum of its proper divisors (4463471168).

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

2140122432 is an equidigital number, since it uses as much as digits as its factorization.

2140122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32533 (or 32509 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2140122432 is about 46261.4573051909. The cubic root of 2140122432 is about 1288.6833173176.

Adding to 2140122432 its reverse (2342210412), we get a palindrome (4482332844).

The spelling of 2140122432 in words is "two billion, one hundred forty million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32497 32928 64994 65856 97491 129988 194982 227479 259976 389964 454958 519952 682437 779928 909916 1039904 1364874 1559856 1592353 1819832 2079808 2729748 3119712 3184706 3639664 4777059 5459496 6239424 6369412 7279328 9554118 10918992 11146471 12738824 14558656 19108236 21837984 22292942 25477648 33439413 38216472 43675968 44585884 50955296 66878826 76432944 89171768 101910592 133757652 152865888 178343536 267515304 305731776 356687072 535030608 713374144 1070061216 2140122432