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10143032553456 = 2431189499432557
BaseRepresentation
bin1001001110011001101111…
…0110100010111111110000
31022220122221101012210212020
42103212123312202333300
52312140412313202311
633323351141031440
72064544542111315
oct223463366427760
938818841183766
1010143032553456
1132606aa4a2490
1211799550b5580
1358763a08c03a
14270cd53d8d0c
15128c9bed8c06
hex9399bda2ff0

10143032553456 has 160 divisors (see below), whose sum is σ = 28964083680000. Its totient is φ = 3033013463040.

The previous prime is 10143032553431. The next prime is 10143032553491. The reversal of 10143032553456 is 65435523034101.

It is a happy number.

It is a super-2 number, since 2×101430325534562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23232730 + ... + 23665286.

It is an arithmetic number, because the mean of its divisors is an integer number (181025523000).

Almost surely, 210143032553456 is an apocalyptic number.

10143032553456 is a gapful number since it is divisible by the number (16) 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 10143032553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482041840000).

10143032553456 is an abundant number, since it is smaller than the sum of its proper divisors (18821051126544).

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

10143032553456 is a wasteful number, since it uses less digits than its factorization.

10143032553456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433167 (or 433161 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 10143032553456 its reverse (65435523034101), we get a palindrome (75578555587557).

The spelling of 10143032553456 in words is "ten trillion, one hundred forty-three billion, thirty-two million, five hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 499 528 534 712 979 998 1068 1424 1497 1958 1996 2136 2937 2994 3916 3992 4272 5489 5874 5988 7832 7984 10978 11748 11976 15664 16467 21956 23496 23952 32934 43912 44411 46992 65868 87824 88822 131736 133233 177644 263472 266466 355288 432557 488521 532932 710576 865114 977042 1065864 1297671 1465563 1730228 1954084 2131728 2595342 2931126 3460456 3908168 4758127 5190684 5862252 6920912 7816336 9516254 10381368 11724504 14274381 19032508 20762736 23449008 28548762 38065016 38497573 57097524 76130032 76995146 114195048 115492719 153990292 215845943 228390096 230985438 307980584 423473303 431691886 461970876 615961168 647537829 846946606 863383772 923941752 1270419909 1295075658 1693893212 1726767544 1847883504 2374305373 2540839818 2590151316 3387786424 3453535088 4748610746 5081679636 5180302632 6775572848 7122916119 9497221492 10163359272 10360605264 14245832238 18994442984 19210288927 20326718544 28491664476 37988885968 38420577854 56983328952 57630866781 76841155708 113966657904 115261733562 153682311416 211313178197 230523467124 307364622832 422626356394 461046934248 633939534591 845252712788 922093868496 1267879069182 1690505425576 2535758138364 3381010851152 5071516276728 10143032553456