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4014132443144 = 23172371127142319
BaseRepresentation
bin111010011010011100111…
…100000011100000001000
3112012202011210101012100022
4322122130330003200020
51011231420401140034
612312022245200012
7563003641536215
oct72323474034010
915182153335308
104014132443144
11130842513034a
12549b70a00008
132316b999a125
14dc3dc250b0c
156e63ba50b2e
hex3a69cf03808

4014132443144 has 128 divisors (see below), whose sum is σ = 8499304857600. Its totient is φ = 1767384622080.

The previous prime is 4014132443143. The next prime is 4014132443149. The reversal of 4014132443144 is 4413442314104.

It is a super-2 number, since 2×40141324431442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014132443143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28134017 + ... + 28276335.

It is an arithmetic number, because the mean of its divisors is an integer number (66400819200).

Almost surely, 24014132443144 is an apocalyptic number.

It is an amenable number.

4014132443144 is an abundant number, since it is smaller than the sum of its proper divisors (4485172414456).

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

4014132443144 is a wasteful number, since it uses less digits than its factorization.

4014132443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142563 (or 142559 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 4014132443144 its reverse (4413442314104), we get a palindrome (8427574757248).

The spelling of 4014132443144 in words is "four trillion, fourteen billion, one hundred thirty-two million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 23 34 46 68 71 92 127 136 142 184 254 284 391 508 568 782 1016 1207 1564 1633 2159 2414 2921 3128 3266 4318 4828 5842 6532 8636 9017 9656 11684 13064 17272 18034 23368 27761 36068 49657 55522 72136 99314 111044 142319 153289 198628 207391 222088 284638 306578 397256 414782 569276 613156 829564 1138552 1226312 1659128 2419423 3273337 3525647 4838846 6546674 7051294 9677692 10104649 13093348 14102588 18074513 19355384 20209298 26186696 28205176 36149026 40418596 55646729 72298052 80837192 111293458 144596104 171779033 222586916 232406927 307266721 343558066 415713799 445173832 464813854 614533442 687116132 831427598 929627708 1229066884 1283290423 1374232264 1662855196 1859255416 2458133768 2566580846 3325710392 3950917759 5133161692 7067134583 7901835518 10266323384 14134269166 15803671036 21815937191 28268538332 29515679729 31607342072 43631874382 56537076664 59031359458 87263748764 118062718916 174527497528 236125437832 501766555393 1003533110786 2007066221572 4014132443144