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414230114240 = 2651923585787
BaseRepresentation
bin1100000011100100000…
…10011110111111000000
31110121012102001001221222
412001302002132333000
523241320402123430
6514143352534212
741633002606355
oct6016202367700
91417172031858
10414230114240
1114a746111898
12683449b1368
13300a5819497
141609805a62c
15ab95d339e5
hex607209efc0

414230114240 has 84 divisors (see below), whose sum is σ = 1041033143736. Its totient is φ = 156971367936.

The previous prime is 414230114213. The next prime is 414230114257. The reversal of 414230114240 is 42411032414.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1677374 + ... + 1908413.

Almost surely, 2414230114240 is an apocalyptic number.

414230114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414230114240 is an abundant number, since it is smaller than the sum of its proper divisors (626803029496).

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

414230114240 is a wasteful number, since it uses less digits than its factorization.

414230114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585842 (or 3585813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414230114240 its reverse (42411032414), we get a palindrome (456641146654).

The spelling of 414230114240 in words is "four hundred fourteen billion, two hundred thirty million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 57760 115520 3585787 7171574 14343148 17928935 28686296 35857870 57372592 68129953 71715740 114745184 136259906 143431480 229490368 272519812 286862960 340649765 545039624 573725920 681299530 1090079248 1147451840 1294469107 1362599060 2180158496 2588938214 2725198120 4360316992 5177876428 5450396240 6472345535 10355752856 10900792480 12944691070 20711505712 21801584960 25889382140 41423011424 51778764280 82846022848 103557528560 207115057120 414230114240