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23041211214032 = 2411314297982801
BaseRepresentation
bin1010011110100101100110…
…01101011010100011010000
310000120201101121220100220022
411033102303031122203100
511010001400032322112
6121000553013003012
74565446456562024
oct517226315324320
9100521347810808
1023041211214032
1173837a5057890
12270165b023468
13cb1a13ab598b
145992b4530384
1529e54c5b4d72
hex14f4b335a8d0

23041211214032 has 80 divisors (see below), whose sum is σ = 50283483984384. Its totient is φ = 10133061120000.

The previous prime is 23041211214019. The next prime is 23041211214041.

It is a happy number.

23041211214032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23041211213992 and 23041211214010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22953032 + ... + 23935832.

Almost surely, 223041211214032 is an apocalyptic number.

23041211214032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041211214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141741992192).

23041211214032 is an abundant number, since it is smaller than the sum of its proper divisors (27242272770352).

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

23041211214032 is a wasteful number, since it uses less digits than its factorization.

23041211214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987148 (or 987142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2304121 and 1214032, that added together give a palindrome (3518153).

The spelling of 23041211214032 in words is "twenty-three trillion, forty-one billion, two hundred eleven million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 4297 5456 8594 17188 34376 47267 68752 94534 133207 189068 266414 378136 532828 756272 982801 1065656 1465277 1965602 2131312 2930554 3931204 5861108 7862408 10810811 11722216 15724816 21621622 23444432 30466831 43243244 60933662 86486488 121867324 172972976 243734648 335135141 487469296 670270282 1340540564 2681081128 4223095897 5362162256 8446191794 16892383588 33784767176 46454054867 67569534352 92908109734 130915972807 185816219468 261831945614 371632438936 523663891228 743264877872 1047327782456 1440075700877 2094655564912 2880151401754 5760302803508 11520605607016 23041211214032