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4140431341400 = 235227893742199
BaseRepresentation
bin111100010000000100111…
…100000111011101011000
3112122211011210000222211202
4330100010330013131120
51020314100410411100
612450030553013332
7605064514500404
oct74200474073530
915584153028752
104140431341400
111356a46607a02
1256a53a0b4248
13240596b53713
1410457dd70104
1572a7e9d17d5
hex3c404f07758

4140431341400 has 48 divisors (see below), whose sum is σ = 9626860962000. Its totient is φ = 1656110929280.

The previous prime is 4140431341367. The next prime is 4140431341427. The reversal of 4140431341400 is 41431340414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5207501 + ... + 5949699.

It is an arithmetic number, because the mean of its divisors is an integer number (200559603375).

Almost surely, 24140431341400 is an apocalyptic number.

4140431341400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140431341400 is an abundant number, since it is smaller than the sum of its proper divisors (5486429620600).

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

4140431341400 is a wasteful number, since it uses less digits than its factorization.

4140431341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770108 (or 770099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4140431341400 its reverse (41431340414), we get a palindrome (4181862681814).

The spelling of 4140431341400 in words is "four trillion, one hundred forty billion, four hundred thirty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 27893 55786 111572 139465 223144 278930 557860 697325 742199 1115720 1394650 1484398 2789300 2968796 3710995 5578600 5937592 7421990 14843980 18554975 29687960 37109950 74219900 148439800 20702156707 41404313414 82808626828 103510783535 165617253656 207021567070 414043134140 517553917675 828086268280 1035107835350 2070215670700 4140431341400