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141121102211344 = 241967131266319861
BaseRepresentation
bin100000000101100101010001…
…001010101110100100010000
3200111200001020020211201022001
4200011211101022232210100
5121444112004131230334
61220050050034123344
741503443316613503
oct4005452112564420
9614601206751261
10141121102211344
1140a6913a1a6a22
12139b226b720554
136098880339958
1426bc4251d313a
15114ad3c879714
hex8059512ae910

141121102211344 has 160 divisors (see below), whose sum is σ = 294463677404160. Its totient is φ = 65318631206400.

The previous prime is 141121102211339. The next prime is 141121102211371. The reversal of 141121102211344 is 443112201121141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105427974 + ... + 7105447834.

It is an arithmetic number, because the mean of its divisors is an integer number (1840397983776).

Almost surely, 2141121102211344 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 141121102211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147231838702080).

141121102211344 is an abundant number, since it is smaller than the sum of its proper divisors (153342575192816).

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

141121102211344 is a wasteful number, since it uses less digits than its factorization.

141121102211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 141121102211344 its reverse (443112201121141), we get a palindrome (584233303332485).

The spelling of 141121102211344 in words is "one hundred forty-one trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 67 76 131 134 152 262 268 304 524 536 1048 1072 1273 2096 2489 2546 2663 4978 5092 5326 8777 9956 10184 10652 17554 19861 19912 20368 21304 35108 39722 39824 42608 50597 70216 79444 101194 140432 158888 166763 178421 202388 317776 333526 348853 356842 377359 404776 667052 697706 713684 754718 809552 1330687 1334104 1395412 1427368 1509436 2601791 2661374 2668208 2790824 2854736 3018872 3389999 5203582 5322748 5581648 6037744 6628207 6779998 10407164 10645496 13256414 13559996 20814328 21290992 23373151 25283053 26512828 27119992 41628656 46746302 49434029 50566106 52889843 53025656 54239984 93492604 98868058 101132212 105779686 106051312 174319997 186985208 197736116 202264424 211559372 348639994 373970416 395472232 404528848 423118744 444089869 697279988 790944464 846237488 888179738 1004907017 1394559976 1776359476 2009814034 2789119952 3312079943 3543619481 3552718952 4019628068 6624159886 6928569433 7087238962 7105437904 8039256136 13248319772 13857138866 14174477924 16078512272 26496639544 27714277732 28348955848 52993279088 55428555464 56697911696 67328770139 110857110928 131642819227 134657540278 263285638454 269315080556 464214152011 526571276908 538630161112 928428304022 1053142553816 1077260322224 1856856608044 2106285107632 3713713216088 7427426432176 8820068888209 17640137776418 35280275552836 70560551105672 141121102211344