Search a number
-
+
54100341340 = 22517331647743
BaseRepresentation
bin110010011000101000…
…011011001001011100
312011122100100002111221
4302120220123021130
51341244141410330
640504154023124
73623441212453
oct623050331134
9164570302457
1054100341340
1120a42261201
12a59a117aa4
1351423c43c6
142893123b9a
15161983ab7a
hexc98a1b25c

54100341340 has 96 divisors (see below), whose sum is σ = 121006255104. Its totient is φ = 20246983680.

The previous prime is 54100341329. The next prime is 54100341343. The reversal of 54100341340 is 4314300145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54100341343) 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, 72813009 + ... + 72813751.

It is an arithmetic number, because the mean of its divisors is an integer number (1260481824).

Almost surely, 254100341340 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 54100341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60503127552).

54100341340 is an abundant number, since it is smaller than the sum of its proper divisors (66905913764).

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

54100341340 is a wasteful number, since it uses less digits than its factorization.

54100341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 54100341340 its reverse (4314300145), we get a palindrome (58414641485).

The spelling of 54100341340 in words is "fifty-four billion, one hundred million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 331 340 647 662 743 1294 1324 1486 1655 2588 2972 3235 3310 3715 5627 6470 6620 7430 10999 11254 12631 12940 14860 21998 22508 25262 28135 43996 50524 54995 56270 63155 109990 112540 126310 214157 219980 245933 252620 428314 480721 491866 856628 961442 983732 1070785 1229665 1922884 2141570 2403605 2459330 3640669 4180861 4283140 4807210 4918660 7281338 8172257 8361722 9614420 14562676 16344514 16723444 18203345 20904305 32689028 36406690 40861285 41808610 72813380 81722570 83617220 159118651 163445140 318237302 636474604 795593255 1591186510 2705017067 3182373020 5410034134 10820068268 13525085335 27050170670 54100341340