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2414721250240 = 265131075424877
BaseRepresentation
bin100011001000111000100…
…110100011001111000000
322112211211002001012212021
4203020320212203033000
5304030322120001430
65045150240411224
7336313020653005
oct43107046431700
98484732035767
102414721250240
118510942153a2
1232bba5316b14
13146926a51170
1484c31c358ac
1542c2bec807a
hex232389a33c0

2414721250240 has 112 divisors (see below), whose sum is σ = 6250240638432. Its totient is φ = 883256610816.

The previous prime is 2414721250229. The next prime is 2414721250247. The reversal of 2414721250240 is 420521274142.

It is a junction number, because it is equal to n+sod(n) for n = 2414721250196 and 2414721250205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414721250247) 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, 2267319 + ... + 3157558.

It is an arithmetic number, because the mean of its divisors is an integer number (55805719986).

Almost surely, 22414721250240 is an apocalyptic number.

2414721250240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414721250240 is an abundant number, since it is smaller than the sum of its proper divisors (3835519388192).

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

2414721250240 is a wasteful number, since it uses less digits than its factorization.

2414721250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425014 (or 5425004 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 2414721250240 in words is "two trillion, four hundred fourteen billion, seven hundred twenty-one million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 130 160 208 214 260 320 416 428 520 535 832 856 1040 1070 1391 1712 2080 2140 2782 3424 4160 4280 5564 6848 6955 8560 11128 13910 17120 22256 27820 34240 44512 55640 89024 111280 222560 445120 5424877 10849754 21699508 27124385 43399016 54248770 70523401 86798032 108497540 141046802 173596064 216995080 282093604 347192128 352617005 433990160 564187208 580461839 705234010 867980320 1128374416 1160923678 1410468020 1735960640 2256748832 2321847356 2820936040 2902309195 4513497664 4643694712 5641872080 5804618390 7546003907 9287389424 11283744160 11609236780 15092007814 18574778848 22567488320 23218473560 30184015628 37149557696 37730019535 46436947120 60368031256 75460039070 92873894240 120736062512 150920078140 185747788480 241472125024 301840156280 482944250048 603680312560 1207360625120 2414721250240