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2141400105104 = 2413531132118147
BaseRepresentation
bin11111001010010101011…
…001001000000010010000
321120201022212002102211212
4133022111121020002100
5240041041411330404
64315425015555252
7310465614365321
oct37122531100220
97521285072755
102141400105104
11756187595687
122a702668bb28
13126c19210910
147590401a448
153aa81ab506e
hex1f295648090

2141400105104 has 160 divisors (see below), whose sum is σ = 4615037368704. Its totient is φ = 956436848640.

The previous prime is 2141400105023. The next prime is 2141400105113. The reversal of 2141400105104 is 4015010041412.

It is a self number, because there is not a number n which added to its sum of digits gives 2141400105104.

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, 262841159 + ... + 262849305.

Almost surely, 22141400105104 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 2141400105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307518684352).

2141400105104 is an abundant number, since it is smaller than the sum of its proper divisors (2473637263600).

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

2141400105104 is a wasteful number, since it uses less digits than its factorization.

2141400105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 2141400105104 its reverse (4015010041412), we get a palindrome (6156410146516).

The spelling of 2141400105104 in words is "two trillion, one hundred forty-one billion, four hundred million, one hundred five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 113 208 211 212 226 422 424 452 689 844 848 904 1378 1469 1688 1808 2743 2756 2938 3376 5486 5512 5876 5989 8147 10972 11024 11183 11752 11978 16294 21944 22366 23504 23843 23956 32588 43888 44732 47686 47912 65176 77857 89464 95372 95824 105911 130352 145379 155714 178928 190744 211822 290758 309959 311428 381488 423644 431791 581516 619918 622856 847288 863582 920611 1163032 1239836 1245712 1263679 1694576 1719017 1727164 1841222 2326064 2479672 2527358 3438034 3454328 3682444 4959344 5054716 5613283 6876068 6908656 7364888 10109432 11226566 11967943 13752136 14729776 16427827 20218864 22347221 22453132 23935886 27504272 32855654 44694442 44906264 47871772 48792383 65711308 89388884 89812528 91107901 95743544 97584766 131422616 178777768 182215802 191487088 194248921 195169532 262845232 357555536 364431604 388497842 390339064 634300979 728863208 776995684 780678128 1184402713 1268601958 1457726416 1553991368 2368805426 2525235973 2537203916 3107982736 4737610852 5050471946 5074407832 9475221704 10100943892 10148815664 10295192813 18950443408 20201887784 20590385626 40403775568 41180771252 82361542504 133837506569 164723085008 267675013138 535350026276 1070700052552 2141400105104