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20141133421002 = 23117324121378117
BaseRepresentation
bin1001001010001011110010…
…00110100101100111001010
32122022110210012220010201120
410211011321012211213022
510114443020123433002
6110500413045100110
74146102030221406
oct445057106454712
978273705803646
1020141133421002
116465896813150
1223135a09b7636
13b313ba928839
144d8b9c208106
1524ddb5340cbc
hex1251791a59ca

20141133421002 has 128 divisors (see below), whose sum is σ = 44757552077568. Its totient is φ = 5991244185600.

The previous prime is 20141133420979. The next prime is 20141133421027. The reversal of 20141133421002 is 20012433114102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2481347848 + ... + 2481355964.

It is an arithmetic number, because the mean of its divisors is an integer number (349668375606).

Almost surely, 220141133421002 is an apocalyptic number.

20141133421002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141133421002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22378776038784).

20141133421002 is an abundant number, since it is smaller than the sum of its proper divisors (24616418656566).

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

20141133421002 is a wasteful number, since it uses less digits than its factorization.

20141133421002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20141133421002 its reverse (20012433114102), we get a palindrome (40153566535104).

The spelling of 20141133421002 in words is "twenty trillion, one hundred forty-one billion, one hundred thirty-three million, four hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 241 438 482 723 803 1446 1606 2137 2409 2651 4274 4818 5302 6411 7953 8117 12822 15906 16234 17593 23507 24351 35186 47014 48702 52779 70521 89287 105558 141042 156001 178574 193523 267861 312002 387046 468003 515017 535722 580569 592541 936006 1030034 1161138 1185082 1545051 1716011 1777623 1956197 3090102 3432022 3555246 3912394 5148033 5665187 5868591 6517951 10296066 11330374 11737182 13035902 16995561 17346029 19553853 21518167 33991122 34692058 37596241 39107706 43036334 52038087 64554501 75192482 104076174 112788723 129109002 142802381 190806319 225577446 285604762 381612638 413558651 428407143 572418957 827117302 856814286 1144837914 1240675953 1266260117 1570826191 2481351906 2532520234 3141652382 3798780351 4180392989 4712478573 7597560702 8360785978 9424957146 12541178967 13928861287 25082357934 27857722574 41786583861 45984322879 83573167722 91968645758 137952968637 275905937274 305168688197 610337376394 915506064591 1831012129182 3356855570167 6713711140334 10070566710501 20141133421002