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323141403144 = 233717139813991
BaseRepresentation
bin1001011001111001011…
…10101000001000001000
31010220002021120002222110
410230330232220020020
520243243144400034
6404241001422320
732226513415110
oct4547456501010
91126067502873
10323141403144
11115052996a6a
125276349a9a0
132461a299971
14118d671c040
158614100de9
hex4b3cba8208

323141403144 has 128 divisors (see below), whose sum is σ = 984604723200. Its totient is φ = 86269916160.

The previous prime is 323141403131. The next prime is 323141403157. The reversal of 323141403144 is 441304141323.

It is an interprime number because it is at equal distance from previous prime (323141403131) and next prime (323141403157).

It is a super-5 number, since 5×3231414031445 (a number of 59 digits) contains 55555 as substring.

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, 10012 + ... + 803979.

It is an arithmetic number, because the mean of its divisors is an integer number (7692224400).

Almost surely, 2323141403144 is an apocalyptic number.

323141403144 is a gapful number since it is divisible by the number (34) 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 323141403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492302361600).

323141403144 is an abundant number, since it is smaller than the sum of its proper divisors (661463320056).

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

323141403144 is a wasteful number, since it uses less digits than its factorization.

323141403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814163 (or 814159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 323141403144 its reverse (441304141323), we get a palindrome (764445544467).

The spelling of 323141403144 in words is "three hundred twenty-three billion, one hundred forty-one million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 139 168 204 238 278 357 408 417 476 556 714 834 952 973 1112 1428 1668 1946 2363 2856 2919 3336 3892 4726 5838 7089 7784 9452 11676 14178 16541 18904 23352 28356 33082 49623 56712 66164 99246 132328 198492 396984 813991 1627982 2441973 3255964 4883946 5697937 6511928 9767892 11395874 13837847 17093811 19535784 22791748 27675694 34187622 41513541 45583496 55351388 68375244 83027082 96864929 110702776 113144749 136750488 166054164 193729858 226289498 290594787 332108328 339434247 387459716 452578996 581189574 678868494 774919432 792013243 905157992 1162379148 1357736988 1584026486 1923460733 2324758296 2376039729 2715473976 3168052972 3846921466 4752079458 5770382199 6336105944 7693842932 9504158916 11540764398 13464225131 15387685864 19008317832 23081528796 26928450262 40392675393 46163057592 53856900524 80785350786 107713801048 161570701572 323141403144