Search a number
-
+
1132431345534 = 2323377322913267
BaseRepresentation
bin10000011110101010001…
…010110000011101111110
311000021000002100211011110
4100132222022300131332
5122023204411024114
62224122021502450
7144546463421226
oct20365212603576
94007002324143
101132431345534
113a7296a769a5
12163580b71a26
1382a31ab2568
143cb4a7b1086
151e6ccc93759
hex107aa2b077e

1132431345534 has 128 divisors (see below), whose sum is σ = 2471388963840. Its totient is φ = 344955055104.

The previous prime is 1132431345523. The next prime is 1132431345553. The reversal of 1132431345534 is 4355431342311.

It is a junction number, because it is equal to n+sod(n) for n = 1132431345492 and 1132431345501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85350369 + ... + 85363635.

It is an arithmetic number, because the mean of its divisors is an integer number (19307726280).

Almost surely, 21132431345534 is an apocalyptic number.

1132431345534 is an abundant number, since it is smaller than the sum of its proper divisors (1338957618306).

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

1132431345534 is a wasteful number, since it uses less digits than its factorization.

1132431345534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634.

The product of its digits is 259200, while the sum is 39.

Adding to 1132431345534 its reverse (4355431342311), we get a palindrome (5487862687845).

The spelling of 1132431345534 in words is "one trillion, one hundred thirty-two billion, four hundred thirty-one million, three hundred forty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 23 37 46 69 73 74 111 138 146 219 222 229 438 458 687 851 1374 1679 1702 2553 2701 3358 5037 5106 5267 5402 8103 8473 10074 10534 13267 15801 16206 16717 16946 25419 26534 31602 33434 39801 50151 50838 62123 79602 100302 124246 186369 194879 305141 372738 384491 389758 490879 584637 610282 618529 768982 915423 968491 981758 1153473 1169274 1237058 1472637 1830846 1855587 1936982 2306946 2905473 2945274 3038143 3711174 5810946 6076286 9114429 11290217 14226167 18228858 22275293 22580434 28452334 33870651 35834167 42678501 44550586 66825879 67741302 69877289 71668334 85357002 107502501 112411291 133651758 139754578 209631867 215005002 221784439 224822582 337233873 419263734 443568878 665353317 674467746 824185841 1330706634 1648371682 2472557523 2585459693 4945115046 5101042097 5170919386 7756379079 8206024243 10202084194 15303126291 15512758158 16412048486 24618072729 30606252582 49236145458 188738557589 377477115178 566215672767 1132431345534