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143404513044 = 223132324736973
BaseRepresentation
bin1000010110001110010…
…0110011011100010100
3111201011002220001122220
42011203210303130110
54322143023404134
6145513520222340
713234461151212
oct2054344633424
9451132801586
10143404513044
11558aa122191
1223961a6a9b0
13106a5008060
146d25851cb2
153ae4a6b149
hex2163933714

143404513044 has 144 divisors (see below), whose sum is σ = 384723639552. Its totient is φ = 41306893056.

The previous prime is 143404513027. The next prime is 143404513093. The reversal of 143404513044 is 440315404341.

143404513044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1434045130442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143404512996 and 143404513014.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3860142 + ... + 3897114.

Almost surely, 2143404513044 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 143404513044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192361819776).

143404513044 is an abundant number, since it is smaller than the sum of its proper divisors (241319126508).

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

143404513044 is a wasteful number, since it uses less digits than its factorization.

143404513044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37086 (or 37061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 143404513044 its reverse (440315404341), we get a palindrome (583719917385).

The spelling of 143404513044 in words is "one hundred forty-three billion, four hundred four million, five hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 47 52 69 78 92 94 138 141 156 188 276 282 299 529 564 598 611 897 1058 1081 1196 1222 1587 1794 1833 2116 2162 2444 3174 3243 3588 3666 4324 6348 6486 6877 7332 12972 13754 14053 20631 24863 27508 28106 36973 41262 42159 49726 56212 73946 74589 82524 84318 99452 110919 147892 149178 168636 221838 298356 323219 443676 480649 646438 850379 961298 969657 1292876 1441947 1700758 1737731 1922596 1939314 2551137 2883894 3401516 3475462 3878628 5102274 5213193 5767788 6950924 10204548 10426386 11054927 19558717 20852772 22109854 22590503 33164781 39117434 39967813 44219708 45181006 58676151 66329562 67771509 78234868 79935626 90362012 117352302 119903439 132659124 135543018 159871252 234704604 239806878 254263321 271086036 479613756 508526642 519581569 762789963 919259699 1017053284 1039163138 1525579926 1558744707 1838519398 2078326276 2757779097 3051159852 3117489414 3677038796 5515558194 6234978828 11031116388 11950376087 23900752174 35851128261 47801504348 71702256522 143404513044