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341057003144 = 231113267342281
BaseRepresentation
bin1001111011010001001…
…01001101111010001000
31012121022211220212222012
410331220211031322020
521041441043100034
6420402431115052
733432465460064
oct4755045157210
91177284825865
10341057003144
11121706872460
1256123372a88
1326213b89200
1412715c58aa4
158d11d86cce
hex4f6894de88

341057003144 has 96 divisors (see below), whose sum is σ = 766684297440. Its totient is φ = 140964595200.

The previous prime is 341057003123. The next prime is 341057003171. The reversal of 341057003144 is 441300750143.

It is a self number, because there is not a number n which added to its sum of digits gives 341057003144.

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 23 ways as a sum of consecutive naturals, for example, 825284 + ... + 1167564.

It is an arithmetic number, because the mean of its divisors is an integer number (7986294765).

Almost surely, 2341057003144 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 341057003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383342148720).

341057003144 is an abundant number, since it is smaller than the sum of its proper divisors (425627294296).

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

341057003144 is a wasteful number, since it uses less digits than its factorization.

341057003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342391 (or 342374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 341057003144 its reverse (441300750143), we get a palindrome (782357753287).

The spelling of 341057003144 in words is "three hundred forty-one billion, fifty-seven million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 169 268 286 338 536 572 676 737 871 1144 1352 1474 1742 1859 2948 3484 3718 5896 6968 7436 9581 11323 14872 19162 22646 38324 45292 76648 90584 124553 249106 342281 498212 684562 996424 1369124 2738248 3765091 4449653 7530182 8899306 15060364 17798612 22932827 30120728 35597224 45865654 48946183 57845489 91731308 97892366 115690978 183462616 195784732 231381956 252261097 298126751 391569464 462763912 504522194 596253502 636300379 1009044388 1192507004 1272600758 2018088776 2385014008 2545201516 3279394261 3875647763 5090403032 6558788522 7751295526 13117577044 15502591052 26235154088 31005182104 42632125393 85264250786 170528501572 341057003144