Search a number
-
+
11214245414232 = 2332731717757643
BaseRepresentation
bin1010001100110000010100…
…0111010100010101011000
31110201001221001012101102100
42203030011013110111120
52432213233311223412
635503430410203400
72235126312151260
oct243140507242530
943631831171370
1011214245414232
113633a311aa723
121311490123560
13634663b4a403
142aaab55747a0
15146a9558bedc
hexa33051d4558

11214245414232 has 96 divisors (see below), whose sum is σ = 35830461588480. Its totient is φ = 3100713013440.

The previous prime is 11214245414231. The next prime is 11214245414237. The reversal of 11214245414232 is 23241454241211.

11214245414232 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 2 + 4 + 5 + 414 + 232 = 666.

It is a super-4 number, since 4×112142454142324 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214245414231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358863198 + ... + 358894445.

It is an arithmetic number, because the mean of its divisors is an integer number (373233974880).

Almost surely, 211214245414232 is an apocalyptic number.

11214245414232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11214245414232 is an abundant number, since it is smaller than the sum of its proper divisors (24616216174248).

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

11214245414232 is a wasteful number, since it uses less digits than its factorization.

11214245414232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717757693 (or 717757686 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 11214245414232 its reverse (23241454241211), we get a palindrome (34455699655443).

The spelling of 11214245414232 in words is "eleven trillion, two hundred fourteen billion, two hundred forty-five million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 717757643 1435515286 2153272929 2871030572 4306545858 5024303501 5742061144 6459818787 8613091716 10048607002 12919637574 15072910503 17226183432 20097214004 22250486933 25839275148 30145821006 40194428008 44500973866 45218731509 51678550296 60291642012 66751460799 89001947732 90437463018 120583284024 133502921598 155753408531 178003895464 180874926036 200254382397 267005843196 311506817062 361749852072 400508764794 467260225593 534011686392 623013634124 801017529588 934520451186 1246027268248 1401780676779 1602035059176 1869040902372 2803561353558 3738081804744 5607122707116 11214245414232