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15400404013232 = 2472383523137723
BaseRepresentation
bin1110000000011010111110…
…0111000101000010110000
32000112021010122010202012102
43200012233213011002300
54004310011411410412
652430503053115532
73146433240145550
oct340065747050260
960467118122172
1015400404013232
1149a830263a007
121888850188ba8
13879337475cb4
143b35525a5160
151ba8ee7658c2
hexe01af9c50b0

15400404013232 has 160 divisors (see below), whose sum is σ = 36081378643968. Its totient is φ = 6225175427328.

The previous prime is 15400404013229. The next prime is 15400404013273. The reversal of 15400404013232 is 23231040400451.

It is a junction number, because it is equal to n+sod(n) for n = 15400404013195 and 15400404013204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111752723 + ... + 111890445.

Almost surely, 215400404013232 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 15400404013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18040689321984).

15400404013232 is an abundant number, since it is smaller than the sum of its proper divisors (20680974630736).

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

15400404013232 is a wasteful number, since it uses less digits than its factorization.

15400404013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138367 (or 138361 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 15400404013232 its reverse (23231040400451), we get a palindrome (38631444413683).

The spelling of 15400404013232 in words is "fifteen trillion, four hundred billion, four hundred four million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 83 92 112 161 166 184 322 332 368 523 581 644 664 1046 1162 1288 1328 1909 2092 2324 2576 3661 3818 4184 4648 7322 7636 8368 9296 12029 13363 14644 15272 24058 26726 29288 30544 43409 48116 53452 58576 84203 86818 96232 106904 137723 168406 173636 192464 213808 275446 303863 336812 347272 550892 607726 673624 694544 964061 998407 1101784 1215452 1347248 1928122 1996814 2203568 2430904 3167629 3856244 3993628 4861808 6335258 6988849 7712488 7987256 11431009 12670516 13977698 15424976 15974512 22173403 22862018 25341032 27955396 44346806 45724036 50682064 55910792 72029129 80017063 88693612 91448072 111821584 144058258 160034126 177387224 182896144 262913207 288116516 320068252 354774448 504203903 525826414 576233032 640136504 1008407806 1051652828 1152466064 1280273008 1656669967 1840392449 2016815612 2103305656 3313339934 3680784898 4033631224 4206611312 5978417707 6626679868 7361569796 8067262448 11596689769 11956835414 13253359736 14723139592 23193379538 23913670828 26506719472 29446279184 41848923949 46386759076 47827341656 83697847898 92773518152 95654683312 137503607261 167395695796 185547036304 275007214522 334791391592 550014429044 669582783184 962525250827 1100028858088 1925050501654 2200057716176 3850101003308 7700202006616 15400404013232