Search a number
-
+
53141432124 = 223117913033911
BaseRepresentation
bin110001011111011110…
…011110011100111100
312002011111222110100210
4301133132132130330
51332313201311444
640225101152420
73560615501664
oct613736363474
9162144873323
1053141432124
112059aa53550
12a370b5b710
13501b8433c1
142801a311a4
1515b05747b9
hexc5f79e73c

53141432124 has 96 divisors (see below), whose sum is σ = 137121546240. Its totient is φ = 15883358400.

The previous prime is 53141432119. The next prime is 53141432129. The reversal of 53141432124 is 42123414135.

It is an interprime number because it is at equal distance from previous prime (53141432119) and next prime (53141432129).

It is a junction number, because it is equal to n+sod(n) for n = 53141432091 and 53141432100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53141432129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13585729 + ... + 13589639.

It is an arithmetic number, because the mean of its divisors is an integer number (1428349440).

Almost surely, 253141432124 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 53141432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68560773120).

53141432124 is an abundant number, since it is smaller than the sum of its proper divisors (83980114116).

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

53141432124 is a wasteful number, since it uses less digits than its factorization.

53141432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5309 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 53141432124 its reverse (42123414135), we get a palindrome (95264846259).

The spelling of 53141432124 in words is "fifty-three billion, one hundred forty-one million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1303 1738 2606 2607 3476 3909 3911 5212 5214 7818 7822 10428 11733 14333 15636 15644 23466 28666 42999 43021 46932 57332 85998 86042 102937 129063 171996 172084 205874 258126 308811 308969 411748 516252 617622 617938 926907 1132307 1235244 1235876 1853814 2264614 3396921 3398659 3707628 4529228 5096033 6793842 6797318 10192066 10195977 13587684 13594636 15288099 20384132 20391954 30576198 40783908 56056363 61152396 112112726 168169089 224225452 336338178 402586607 672676356 805173214 1207759821 1610346428 2415519642 4428452677 4831039284 8856905354 13285358031 17713810708 26570716062 53141432124