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141204123198 = 23217237898243
BaseRepresentation
bin1000001110000001101…
…0111110111000111110
3111111110202110200020200
42003200122332320332
54303141223420243
6144511314224330
713126112146365
oct2034032767076
9444422420220
10141204123198
1154980056786
1223448b850a6
131041419b128
146b975127dc
153a167c3ad3
hex20e06bee3e

141204123198 has 144 divisors (see below), whose sum is σ = 337572509040. Its totient is φ = 42612590592.

The previous prime is 141204123187. The next prime is 141204123239. The reversal of 141204123198 is 891321402141.

141204123198 is a `hidden beast` number, since 1 + 4 + 120 + 412 + 31 + 98 = 666.

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, 17126065 + ... + 17134307.

It is an arithmetic number, because the mean of its divisors is an integer number (2344253535).

Almost surely, 2141204123198 is an apocalyptic number.

141204123198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141204123198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168786254520).

141204123198 is an abundant number, since it is smaller than the sum of its proper divisors (196368385842).

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

141204123198 is a wasteful number, since it uses less digits than its factorization.

141204123198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 141204123198 in words is "one hundred forty-one billion, two hundred four million, one hundred twenty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 89 102 111 153 178 222 267 289 306 333 534 578 629 666 801 867 1258 1513 1602 1734 1887 2601 3026 3293 3774 4539 5202 5661 6586 8243 9078 9879 10693 11322 13617 16486 19758 21386 24729 25721 27234 29637 32079 49458 51442 55981 59274 64158 74187 77163 96237 111962 140131 148374 154326 167943 192474 231489 280262 304991 335886 420393 462978 503829 609982 733627 840786 914973 951677 1007658 1261179 1467254 1829946 1903354 2200881 2382227 2522358 2744919 2855031 4401762 4764454 5184847 5489838 5710062 6602643 7146681 8565093 10369694 12471659 13205286 14293362 15554541 17130186 21440043 24943318 27144199 31109082 37414977 42880086 46663623 54288398 74829954 81432597 88142399 93327246 112244931 162865194 176284798 212018203 224489862 244297791 264427197 424036406 461451383 488595582 528854394 636054609 793281591 922902766 1272109218 1384354149 1586563182 1908163827 2768708298 3816327654 4153062447 7844673511 8306124894 15689347022 23534020533 47068041066 70602061599 141204123198