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1003432563342 = 2321122340074999
BaseRepresentation
bin11101001101000010011…
…11011101001010001110
310112221000221101201011200
432212201033131022032
5112420012214011332
62044545350130330
7132331665026226
oct16464117351216
93487027351150
101003432563342
1135760a582600
1214257b6509a6
1373814483301
14367d028d086
151b17cca217c
hexe9a13dd28e

1003432563342 has 144 divisors (see below), whose sum is σ = 2494739520000. Its totient is φ = 290719265760.

The previous prime is 1003432563323. The next prime is 1003432563361. The reversal of 1003432563342 is 2433652343001.

1003432563342 is a `hidden beast` number, since 1 + 0 + 0 + 34 + 32 + 563 + 34 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1003432563323) and next prime (1003432563361).

It is a junction number, because it is equal to n+sod(n) for n = 1003432563297 and 1003432563306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200724159 + ... + 200729157.

It is an arithmetic number, because the mean of its divisors is an integer number (17324580000).

Almost surely, 21003432563342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003432563342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247369760000).

1003432563342 is an abundant number, since it is smaller than the sum of its proper divisors (1491306956658).

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

1003432563342 is a wasteful number, since it uses less digits than its factorization.

1003432563342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 1003432563342 in words is "one trillion, three billion, four hundred thirty-two million, five hundred sixty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1518 2178 2277 2783 4007 4554 4999 5566 8014 8349 9998 12021 14997 16698 24042 25047 29994 36063 44077 44991 50094 54989 72126 88154 89982 92161 109978 114977 132231 164967 184322 229954 264462 276483 329934 344931 396693 484847 494901 552966 604879 689862 793386 829449 969694 989802 1013771 1034793 1209758 1264747 1454541 1658898 1814637 2027542 2069586 2529494 2909082 3041313 3629274 3794241 4363623 5443911 6082626 7588482 8727246 9123939 10887822 11151481 11382723 13912217 18247878 20030993 22302962 22765446 27824434 33454443 40061986 41736651 60092979 66908886 83473302 100363329 120185958 125209953 180278937 200726658 220340923 250419906 360557874 440681846 460712839 661022769 921425678 1322045538 1382138517 1983068307 2423750153 2764277034 3966136614 4146415551 4847500306 5067841229 7271250459 8292831102 10135682458 14542500918 15203523687 21813751377 30407047374 43627502754 45610571061 55746253519 91221142122 111492507038 167238760557 334477521114 501716281671 1003432563342