Search a number
-
+
104514543040 = 2652921535231
BaseRepresentation
bin110000101010110001…
…1010101110111000000
3100222202210112220001111
41201111203111313000
53203021210334130
6120002513213104
710356652646365
oct1412543256700
9328683486044
10104514543040
114036280a106
1218309861194
139b17c0889b
1450b687446c
152aba74c02a
hex18558d5dc0

104514543040 has 112 divisors (see below), whose sum is σ = 257625982080. Its totient is φ = 40337776640.

The previous prime is 104514543019. The next prime is 104514543043. The reversal of 104514543040 is 40345415401.

It is a junction number, because it is equal to n+sod(n) for n = 104514542993 and 104514543011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104514543043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19977225 + ... + 19982455.

Almost surely, 2104514543040 is an apocalyptic number.

104514543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104514543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128812991040).

104514543040 is an abundant number, since it is smaller than the sum of its proper divisors (153111439040).

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

104514543040 is a wasteful number, since it uses less digits than its factorization.

104514543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 104514543040 its reverse (40345415401), we get a palindrome (144859958441).

The spelling of 104514543040 in words is "one hundred four billion, five hundred fourteen million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2153 2320 4306 4640 5231 8612 9280 10462 10765 17224 20924 21530 26155 34448 41848 43060 52310 62437 68896 83696 86120 104620 124874 137792 151699 167392 172240 209240 249748 303398 312185 334784 344480 418480 499496 606796 624370 688960 758495 836960 998992 1213592 1248740 1516990 1673920 1997984 2427184 2497480 3033980 3995968 4854368 4994960 6067960 9708736 9989920 11262343 12135920 19979840 22524686 24271840 45049372 48543680 56311715 90098744 112623430 180197488 225246860 326607947 360394976 450493720 653215894 720789952 900987440 1306431788 1633039735 1801974880 2612863576 3266079470 3603949760 5225727152 6532158940 10451454304 13064317880 20902908608 26128635760 52257271520 104514543040