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140201423041134 = 237133175111029559
BaseRepresentation
bin11111111000001100110000…
…000001000111001001101110
3200101102010101020020012112210
4133320030300001013021232
5121334030003244304014
61214103351121511250
741350134650632050
oct3770146001071156
9611363336205483
10140201423041134
11407440a92992a4
1213883b84aa2526
13602cc257b7a40
142689adc39b8d0
151131e62857859
hex7f833004726e

140201423041134 has 128 divisors (see below), whose sum is σ = 356718205992960. Its totient is φ = 35735767920000.

The previous prime is 140201423041039. The next prime is 140201423041159. The reversal of 140201423041134 is 431140324102041.

It is a happy number.

It is a congruent number.

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, 7196647 + ... + 18226205.

It is an arithmetic number, because the mean of its divisors is an integer number (2786860984320).

Almost surely, 2140201423041134 is an apocalyptic number.

140201423041134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140201423041134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178359102996480).

140201423041134 is an abundant number, since it is smaller than the sum of its proper divisors (216516782951826).

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

140201423041134 is a wasteful number, since it uses less digits than its factorization.

140201423041134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030366.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 140201423041134 its reverse (431140324102041), we get a palindrome (571341747143175).

The spelling of 140201423041134 in words is "one hundred forty trillion, two hundred one billion, four hundred twenty-three million, forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 751 806 1209 1302 1502 2253 2418 2821 4506 5257 5642 8463 9763 10514 15771 16926 19526 23281 29289 31542 46562 58578 68341 69843 136682 139686 162967 205023 302653 325934 410046 488901 605306 907959 977802 1815918 2118571 4237142 6355713 11029559 12711426 22059118 33088677 66177354 77206913 143384267 154413826 231620739 286768534 341916329 430152801 463241478 683832658 860305602 1003689869 1025748987 2007379738 2051497974 2393414303 3011069607 4444912277 4786828606 6022139214 7180242909 8283198809 8889824554 13334736831 14360485818 16566397618 24849596427 26669473662 31114385939 49699192854 57982391663 62228771878 93343157817 107681584517 115964783326 173947174989 186686315634 215363169034 256779163079 323044753551 347894349978 513558326158 646089507102 753771091619 770337489237 1507542183238 1540674978474 1797454141553 2261313274857 3338129120027 3594908283106 4522626549714 5392362424659 6676258240054 10014387360081 10784724849318 20028774720162 23366903840189 46733807680378 70100711520567 140201423041134