Search a number
-
+
1134314030430 = 232571889953149
BaseRepresentation
bin10000100000011010011…
…000101000010101011110
311000102212021222010022200
4100200122120220111132
5122041033342433210
62225032514152330
7144644234113410
oct20403230502536
94012767863280
101134314030430
113a8072775a29
12163a075826a6
1382c71b62aa9
143cc8884c9b0
151e78d1d10c0
hex1081a62855e

1134314030430 has 96 divisors (see below), whose sum is σ = 3372320952000. Its totient is φ = 259134253056.

The previous prime is 1134314030413. The next prime is 1134314030441. The reversal of 1134314030430 is 340304134311.

1134314030430 is a `hidden beast` number, since 1 + 1 + 343 + 14 + 0 + 304 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1134314030394 and 1134314030403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713496 + ... + 1666644.

It is an arithmetic number, because the mean of its divisors is an integer number (35128343250).

Almost surely, 21134314030430 is an apocalyptic number.

1134314030430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134314030430 is an abundant number, since it is smaller than the sum of its proper divisors (2238006921570).

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

1134314030430 is a wasteful number, since it uses less digits than its factorization.

1134314030430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955058 (or 955055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1134314030430 its reverse (340304134311), we get a palindrome (1474618164741).

The spelling of 1134314030430 in words is "one trillion, one hundred thirty-four billion, three hundred fourteen million, thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1889 3778 5667 9445 11334 13223 17001 18890 26446 28335 34002 39669 56670 66115 79338 85005 119007 132230 170010 198345 238014 396690 595035 953149 1190070 1906298 2859447 4765745 5718894 6672043 8578341 9531490 13344086 14297235 17156682 20016129 28594470 33360215 40032258 42891705 60048387 66720430 85783410 100080645 120096774 200161290 300241935 600483870 1800498461 3600996922 5401495383 9002492305 10802990766 12603489227 16204486149 18004984610 25206978454 27007476915 32408972298 37810467681 54014953830 63017446135 75620935362 81022430745 113431403043 126034892270 162044861490 189052338405 226862806086 378104676810 567157015215 1134314030430