Search a number
-
+
234244014444 = 2232111579374021
BaseRepresentation
bin1101101000101000001…
…0000000000101101100
3211101121212102212012200
43122022002000011230
512314212431430234
6255335450101500
722631533161546
oct3321202000554
9741555385180
10234244014444
1190384704090
1239493a1a890
1319120a30b0b
14b4a203c696
15615e973d99
hex368a08016c

234244014444 has 144 divisors (see below), whose sum is σ = 650915524896. Its totient is φ = 70438118400.

The previous prime is 234244014421. The next prime is 234244014463. The reversal of 234244014444 is 444410442432.

It is a happy number.

234244014444 is a `hidden beast` number, since 2 + 34 + 2 + 440 + 144 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234244014399 and 234244014408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58253154 + ... + 58257174.

Almost surely, 2234244014444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234244014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325457762448).

234244014444 is an abundant number, since it is smaller than the sum of its proper divisors (416671510452).

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

234244014444 is a wasteful number, since it uses less digits than its factorization.

234244014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 234244014444 its reverse (444410442432), we get a palindrome (678654456876).

The spelling of 234244014444 in words is "two hundred thirty-four billion, two hundred forty-four million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 937 942 1413 1727 1874 1884 2811 2826 3454 3748 4021 5181 5622 5652 6908 8042 8433 10307 10362 11244 12063 15543 16084 16866 20614 20724 24126 30921 31086 33732 36189 41228 44231 48252 61842 62172 72378 88462 92763 123684 132693 144756 147109 176924 185526 265386 294218 371052 398079 441327 530772 588436 631297 796158 882654 1262594 1323981 1592316 1618199 1765308 1893891 2525188 2647962 3236398 3767677 3787782 4854597 5295924 5681673 6472796 6944267 7535354 7575564 9709194 11303031 11363346 13888534 14563791 15070708 19418388 20832801 22606062 22726692 27777068 29127582 33909093 41444447 41665602 45212124 58255164 62498403 67818186 82888894 83331204 124333341 124996806 135636372 165777788 248666682 249993612 373000023 497333364 591525289 746000046 1183050578 1492000092 1774575867 2366101156 3549151734 5323727601 6506778179 7098303468 10647455202 13013556358 19520334537 21294910404 26027112716 39040669074 58561003611 78081338148 117122007222 234244014444