Search a number
-
+
141001123133442 = 231113677691318917
BaseRepresentation
bin100000000011110101100001…
…110110110111100000000010
3200111020120112201001001112010
4200003311201312313200002
5121440130300010232232
61215515004410113350
741461665163360455
oct4003654166674002
9614216481031463
10141001123133442
1140a222711319a0
1213992b66a1b856
13608a46c599630
1426b66c297549c
151147b696580cc
hex803d61db7802

141001123133442 has 128 divisors (see below), whose sum is σ = 336292938390528. Its totient is φ = 38847030393600.

The previous prime is 141001123133401. The next prime is 141001123133443. The reversal of 141001123133442 is 244331321100141.

It is not an unprimeable number, because it can be changed into a prime (141001123133443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441965368 + ... + 442284284.

It is an arithmetic number, because the mean of its divisors is an integer number (2627288581176).

Almost surely, 2141001123133442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141001123133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168146469195264).

141001123133442 is an abundant number, since it is smaller than the sum of its proper divisors (195291815257086).

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

141001123133442 is a wasteful number, since it uses less digits than its factorization.

141001123133442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326704.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 141001123133442 its reverse (244331321100141), we get a palindrome (385332444233583).

The spelling of 141001123133442 in words is "one hundred forty-one trillion, one billion, one hundred twenty-three million, one hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 134 143 201 286 402 429 737 858 871 1474 1742 2211 2613 4422 5226 7691 9581 15382 19162 23073 28743 46146 57486 84601 99983 169202 199966 253803 299949 318917 507606 515297 599898 637834 956751 1030594 1099813 1545891 1913502 2199626 3091782 3299439 3508087 4145921 5668267 6598878 6698861 7016174 8291842 10524261 11336534 12437763 13397722 17004801 20096583 21048522 21367439 24875526 34009602 40193166 42734878 45605131 64102317 73687471 91210262 128204634 136815393 147374942 221062413 235041829 273630786 277776707 442124826 470083658 555553414 705125487 833330121 1410250974 1666660242 2452790647 3055543777 4905581294 6111087554 7358371941 9166631331 14716743882 18333262662 26980697117 31886278411 53961394234 63772556822 80942091351 95658835233 161884182702 164336973349 191317670466 328673946698 350749062521 493010920047 701498125042 986021840094 1052247187563 1807706706839 2104494375126 2136380653537 3615413413678 4272761307074 5423120120517 6409141960611 10846240241034 12818283921222 23500187188907 47000374377814 70500561566721 141001123133442