Search a number
-
+
1134114341430 = 23578365066801
BaseRepresentation
bin10000100000001110011…
…110111000001000110110
311000102100101012212111210
4100200032132320020312
5122040131232411210
62225001022142250
7144636260562630
oct20401636701066
94012311185453
101134114341430
113a7a7aa856a4
12163970721986
1382c3c687215
143cc6a10ba50
151e77a8d8e20
hex1080e7b8236

1134114341430 has 64 divisors (see below), whose sum is σ = 3148192147968. Its totient is φ = 256102924800.

The previous prime is 1134114341429. The next prime is 1134114341431. The reversal of 1134114341430 is 341434114311.

It is an interprime number because it is at equal distance from previous prime (1134114341429) and next prime (1134114341431).

It is a super-2 number, since 2×11341143414302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134114341431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32515971 + ... + 32550830.

It is an arithmetic number, because the mean of its divisors is an integer number (49190502312).

Almost surely, 21134114341430 is an apocalyptic number.

1134114341430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134114341430 is an abundant number, since it is smaller than the sum of its proper divisors (2014077806538).

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

1134114341430 is a wasteful number, since it uses less digits than its factorization.

1134114341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65066901.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1134114341430 its reverse (341434114311), we get a palindrome (1475548455741).

The spelling of 1134114341430 in words is "one trillion, one hundred thirty-four billion, one hundred fourteen million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 8715 17430 65066801 130133602 195200403 325334005 390400806 455467607 650668010 910935214 976002015 1366402821 1952004030 2277338035 2732805642 4554676070 5400544483 6832014105 10801088966 13664028210 16201633449 27002722415 32403266898 37803811381 54005444830 75607622762 81008167245 113411434143 162016334490 189019056905 226822868286 378038113810 567057170715 1134114341430