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140414200311341 = 1137971935497277
BaseRepresentation
bin11111111011010010111010…
…100001111110111000101101
3200102011110121001012110200002
4133323102322201332320231
5121401021240234430331
61214345220525114045
741401406531610515
oct3773227241767055
9612143531173602
10140414200311341
1140816367537740
12138b92676b8925
136047004cc3818
1426961253ca845
1511377678d49cb
hex7fb4ba87ee2d

140414200311341 has 16 divisors (see below), whose sum is σ = 157335295224960. Its totient is φ = 124186510140480.

The previous prime is 140414200311293. The next prime is 140414200311347. The reversal of 140414200311341 is 143113002414041.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 140414200311341 - 26 = 140414200311277 is a prime.

It is a super-2 number, since 2×1404142003113412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414200311347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13793006 + ... + 21704271.

It is an arithmetic number, because the mean of its divisors is an integer number (9833455951560).

Almost surely, 2140414200311341 is an apocalyptic number.

140414200311341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140414200311341 is a deficient number, since it is larger than the sum of its proper divisors (16921094913619).

140414200311341 is a wasteful number, since it uses less digits than its factorization.

140414200311341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35507044.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 140414200311341 its reverse (143113002414041), we get a palindrome (283527202725382).

The spelling of 140414200311341 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred million, three hundred eleven thousand, three hundred forty-one".

Divisors: 1 11 37 407 9719 106909 359603 3955633 35497277 390470047 1313399249 14447391739 344998035163 3794978386793 12764927301031 140414200311341