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1114434211410 = 232513952507873
BaseRepresentation
bin10000001101111001011…
…101001000111001010010
310221112112211120200101100
4100031321131020321102
5121224330124231120
62211544120445230
7143341501333362
oct20157135107122
93845484520340
101114434211410
1139a6a1071733
1215bb99919816
1381124346580
143bd204cc9a2
151dec7ca4490
hex10379748e52

1114434211410 has 48 divisors (see below), whose sum is σ = 3120415795224. Its totient is φ = 274322267136.

The previous prime is 1114434211399. The next prime is 1114434211411. The reversal of 1114434211410 is 141124344111.

1114434211410 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 34 + 211 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371257457481 + 743176753929 = 609309^2 + 862077^2 .

It is a super-2 number, since 2×11144342114102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1114434211411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476252767 + ... + 476255106.

Almost surely, 21114434211410 is an apocalyptic number.

1114434211410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1114434211410 is an abundant number, since it is smaller than the sum of its proper divisors (2005981583814).

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

1114434211410 is a wasteful number, since it uses less digits than its factorization.

1114434211410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952507899 (or 952507896 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1114434211410 its reverse (141124344111), we get a palindrome (1255558555521).

The spelling of 1114434211410 in words is "one trillion, one hundred fourteen billion, four hundred thirty-four million, two hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 952507873 1905015746 2857523619 4762539365 5715047238 8572570857 9525078730 12382602349 14287618095 17145141714 24765204698 28575236190 37147807047 42862854285 61913011745 74295614094 85725708570 111443421141 123826023490 185739035235 222886842282 371478070470 557217105705 1114434211410