Search a number
-
+
141302043024 = 243237912712757
BaseRepresentation
bin1000001110011001000…
…0100001000110010000
3111111201120201111222220
42003212100201012100
54303341310334044
6144525133101040
713131411356052
oct2034620410620
9444646644886
10141302043024
1154a2035735a
1223475927780
131042b563b5c
146ba65218d2
153a201b7019
hex20e6421190

141302043024 has 160 divisors (see below), whose sum is σ = 388790353920. Its totient is φ = 44128820736.

The previous prime is 141302043023. The next prime is 141302043031. The reversal of 141302043024 is 420340203141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 141302042985 and 141302043003.

It is not an unprimeable number, because it can be changed into a prime (141302043023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11070054 + ... + 11082810.

It is an arithmetic number, because the mean of its divisors is an integer number (2429939712).

Almost surely, 2141302043024 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 141302043024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194395176960).

141302043024 is an abundant number, since it is smaller than the sum of its proper divisors (247488310896).

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

141302043024 is a wasteful number, since it uses less digits than its factorization.

141302043024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 141302043024 its reverse (420340203141), we get a palindrome (561642246165).

The spelling of 141302043024 in words is "one hundred forty-one billion, three hundred two million, forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 127 138 158 184 237 254 276 316 368 381 474 508 552 632 762 948 1016 1104 1264 1524 1817 1896 2032 2921 3048 3634 3792 5451 5842 6096 7268 8763 10033 10902 11684 12757 14536 17526 20066 21804 23368 25514 29072 30099 35052 38271 40132 43608 46736 51028 60198 70104 76542 80264 87216 102056 120396 140208 153084 160528 204112 230759 240792 293411 306168 461518 481584 586822 612336 692277 880233 923036 1007803 1173644 1384554 1620139 1760466 1846072 2015606 2347288 2769108 3023409 3240278 3520932 3692144 4031212 4694576 4860417 5538216 6046818 6480556 7041864 8062424 9720834 11076432 12093636 12961112 14083728 16124848 19441668 23179469 24187272 25922224 37263197 38883336 46358938 48374544 69538407 74526394 77766672 92717876 111789591 127990981 139076814 149052788 185435752 223579182 255981962 278153628 298105576 370871504 383972943 447158364 511963924 556307256 596211152 767945886 894316728 1023927848 1112614512 1535891772 1788633456 2047855696 2943792563 3071783544 5887585126 6143567088 8831377689 11775170252 17662755378 23550340504 35325510756 47100681008 70651021512 141302043024