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2142034312 = 2311194632767
BaseRepresentation
bin111111110101100…
…1101100110001000
312112021121121200011
41333223031212020
513341330044222
6552315121304
7104036663665
oct17753154610
95467547604
102142034312
119aa1390a0
124b9443234
13281a17632
141646aca6c
15c80bbc77
hex7facd988

2142034312 has 64 divisors (see below), whose sum is σ = 4623667200. Its totient is φ = 920082240.

The previous prime is 2142034267. The next prime is 2142034333. The reversal of 2142034312 is 2134302412.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 772753 + ... + 775519.

It is an arithmetic number, because the mean of its divisors is an integer number (72244800).

Almost surely, 22142034312 is an apocalyptic number.

2142034312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311833600).

2142034312 is an abundant number, since it is smaller than the sum of its proper divisors (2481632888).

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

2142034312 is a wasteful number, since it uses less digits than its factorization.

2142034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2142034312 is about 46282.1165462428. The cubic root of 2142034312 is about 1289.0669518402.

Adding to 2142034312 its reverse (2134302412), we get a palindrome (4276336724).

The spelling of 2142034312 in words is "two billion, one hundred forty-two million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 463 836 926 1672 1852 2767 3704 5093 5534 8797 10186 11068 17594 20372 22136 30437 35188 40744 52573 60874 70376 96767 105146 121748 193534 210292 243496 387068 420584 578303 774136 1156606 1281121 2313212 2562242 4626424 5124484 10248968 14092331 24341299 28184662 48682598 56369324 97365196 112738648 194730392 267754289 535508578 1071017156 2142034312