Search a number
-
+
525010420241440 = 25574009311169177
BaseRepresentation
bin111011101011111101000001…
…1100110100001010000100000
32112211220111122212200101111121
41313113322003212201100200
51022303232320040211230
65100334242450222024
7215404515432361420
oct16727720346412040
92484814585611447
10525010420241440
1114231473a261a51
124aa72653584914
13196c4368806a03
1493908d5d36480
1540a6ad4bc477a
hex1dd7e839a1420

525010420241440 has 96 divisors (see below), whose sum is σ = 1417532882661504. Its totient is φ = 180002969733120.

The previous prime is 525010420241393. The next prime is 525010420241443. The reversal of 525010420241440 is 44142024010525.

It is a junction number, because it is equal to n+sod(n) for n = 525010420241396 and 525010420241405.

It is not an unprimeable number, because it can be changed into a prime (525010420241443) 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 15 ways as a sum of consecutive naturals, for example, 448458132 + ... + 449627308.

It is an arithmetic number, because the mean of its divisors is an integer number (14765967527724).

Almost surely, 2525010420241440 is an apocalyptic number.

It is an amenable number.

525010420241440 is an abundant number, since it is smaller than the sum of its proper divisors (892522462420064).

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

525010420241440 is a wasteful number, since it uses less digits than its factorization.

525010420241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570130 (or 1570122 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 525010420241440 its reverse (44142024010525), we get a palindrome (569152444251965).

The spelling of 525010420241440 in words is "five hundred twenty-five trillion, ten billion, four hundred twenty million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 400931 801862 1169177 1603724 2004655 2338354 2806517 3207448 4009310 4676708 5613034 5845885 6414896 8018620 8184239 9353416 11226068 11691770 12829792 14032585 16037240 16368478 18706832 22452136 23383540 28065170 32074480 32736956 37413664 40921195 44904272 46767080 56130340 64148960 65473912 81842390 89808544 93534160 112260680 130947824 163684780 187068320 224521360 261895648 327369560 449042720 654739120 1309478240 468759303787 937518607574 1875037215148 2343796518935 3281315126509 3750074430296 4687593037870 6562630253018 7500148860592 9375186075740 13125260506036 15000297721184 16406575632545 18750372151480 26250521012072 32813151265090 37500744302960 52501042024144 65626302530180 75001488605920 105002084048288 131252605060360 262505210120720 525010420241440