Search a number
-
+
214515136644 = 2234310115127259
BaseRepresentation
bin1100011111001000011…
…0010011100010000100
3202111200221002000200220
43013302012103202010
512003311333333034
6242314043504340
721332612401434
oct3076206234204
9674627060626
10214515136644
1182a802251a6
12356a88280b0
13172c8582a23
14a54db702c4
1558a7910749
hex31f2193884

214515136644 has 96 divisors (see below), whose sum is σ = 520691297280. Its totient is φ = 68690160000.

The previous prime is 214515136643. The next prime is 214515136697. The reversal of 214515136644 is 446631515412.

It is a junction number, because it is equal to n+sod(n) for n = 214515136596 and 214515136605.

It is not an unprimeable number, because it can be changed into a prime (214515136643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7855887 + ... + 7883145.

It is an arithmetic number, because the mean of its divisors is an integer number (5423867680).

Almost surely, 2214515136644 is an apocalyptic number.

It is an amenable number.

214515136644 is an abundant number, since it is smaller than the sum of its proper divisors (306176160636).

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

214515136644 is a wasteful number, since it uses less digits than its factorization.

214515136644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27561 (or 27559 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 214515136644 in words is "two hundred fourteen billion, five hundred fifteen million, one hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 43 86 101 129 151 172 202 258 302 303 404 453 516 604 606 906 1212 1812 4343 6493 8686 12986 13029 15251 17372 19479 25972 26058 27259 30502 38958 45753 52116 54518 61004 77916 81777 91506 109036 163554 183012 327108 655793 1172137 1311586 1967379 2344274 2623172 2753159 3516411 3934758 4116109 4688548 5506318 7032822 7869516 8232218 8259477 11012636 12348327 14065644 16464436 16518954 24696654 33037908 49393308 118385837 176992687 236771674 353985374 355157511 415727009 473543348 530978061 707970748 710315022 831454018 1061956122 1247181027 1420630044 1662908036 2123912244 2494362054 4988724108 17876261387 35752522774 53628784161 71505045548 107257568322 214515136644