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2141734728 = 233724738749
BaseRepresentation
bin111111110101000…
…0100011101001000
312112021001101201110
41333222010131020
513341241002403
6552304450320
7104034305400
oct17752043510
95467041643
102141734728
119a9a54001
124b93199a0
13281941173
14164631800
15c805d103
hex7fa84748

2141734728 has 96 divisors (see below), whose sum is σ = 6361200000. Its totient is φ = 598889088.

The previous prime is 2141734711. The next prime is 2141734741. The reversal of 2141734728 is 8274371412.

2141734728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 35898 + ... + 74646.

It is an arithmetic number, because the mean of its divisors is an integer number (66262500).

Almost surely, 22141734728 is an apocalyptic number.

2141734728 is a gapful number since it is divisible by the number (28) 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 2141734728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600000).

2141734728 is an abundant number, since it is smaller than the sum of its proper divisors (4219465272).

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

2141734728 is a wasteful number, since it uses less digits than its factorization.

2141734728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38819 (or 38808 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 2141734728 is about 46278.8799345879. The cubic root of 2141734728 is about 1289.0068529214.

The spelling of 2141734728 in words is "two billion, one hundred forty-one million, seven hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 376 392 564 588 658 987 1128 1176 1316 1974 2303 2632 3948 4606 6909 7896 9212 13818 18424 27636 38749 55272 77498 116247 154996 232494 271243 309992 464988 542486 813729 929976 1084972 1627458 1821203 1898701 2169944 3254916 3642406 3797402 5463609 5696103 6509832 7284812 7594804 10927218 11392206 12748421 14569624 15189608 21854436 22784412 25496842 38245263 43708872 45568824 50993684 76490526 89238947 101987368 152981052 178477894 267716841 305962104 356955788 535433682 713911576 1070867364 2141734728