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4134681420 = 2235316913217
BaseRepresentation
bin1111011001110010…
…0011101101001100
3101200011010120121220
43312130203231030
531431434301140
61522140323340
7204314132532
oct36634435514
911604116556
104134681420
111831a13391
12974843550
1350b7b8c6c
142b31b2152
15192ecabd0
hexf6723b4c

4134681420 has 96 divisors (see below), whose sum is σ = 11971577856. Its totient is φ = 1065139200.

The previous prime is 4134681391. The next prime is 4134681431. The reversal of 4134681420 is 241864314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283652 + ... + 1286868.

It is an arithmetic number, because the mean of its divisors is an integer number (124703936).

Almost surely, 24134681420 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 4134681420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985788928).

4134681420 is an abundant number, since it is smaller than the sum of its proper divisors (7836896436).

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

4134681420 is a wasteful number, since it uses less digits than its factorization.

4134681420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4134681420 is about 64301.4884742181. The cubic root of 4134681420 is about 1605.0208710323.

The spelling of 4134681420 in words is "four billion, one hundred thirty-four million, six hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 691 930 1382 1860 2073 2764 3217 3455 4146 6434 6910 8292 9651 10365 12868 13820 16085 19302 20730 21421 32170 38604 41460 42842 48255 64263 64340 85684 96510 99727 107105 128526 193020 199454 214210 257052 299181 321315 398908 428420 498635 598362 642630 997270 1196724 1285260 1495905 1994540 2222947 2991810 4445894 5983620 6668841 8891788 11114735 13337682 22229470 26675364 33344205 44458940 66688410 68911357 133376820 137822714 206734071 275645428 344556785 413468142 689113570 826936284 1033670355 1378227140 2067340710 4134681420