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1406142600552 = 23351669343331
BaseRepresentation
bin10100011101100100101…
…000010101010101101000
311222102111111101020100000
4110131210220111111220
5141014240001204202
62553550055543000
7203406344616324
oct24354450252550
94872444336300
101406142600552
114a2383926a78
121a862a38aa60
13a27a23b0861
144c0b4338984
152689c56491c
hex14764a15568

1406142600552 has 96 divisors (see below), whose sum is σ = 3949678867680. Its totient is φ = 468675305280.

The previous prime is 1406142600503. The next prime is 1406142600559. The reversal of 1406142600552 is 2550062416041.

1406142600552 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 1 + 42 + 60 + 0 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1406142600559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32429527 + ... + 32472857.

It is an arithmetic number, because the mean of its divisors is an integer number (41142488205).

Almost surely, 21406142600552 is an apocalyptic number.

1406142600552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406142600552 is an abundant number, since it is smaller than the sum of its proper divisors (2543536267128).

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

1406142600552 is a wasteful number, since it uses less digits than its factorization.

1406142600552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60045 (or 60029 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1406142600552 in words is "one trillion, four hundred six billion, one hundred forty-two million, six hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 16693 33386 43331 50079 66772 86662 100158 129993 133544 150237 173324 200316 259986 300474 346648 389979 400632 450711 519972 600948 779958 901422 1039944 1169937 1201896 1352133 1559916 1802844 2339874 2704266 3119832 3509811 3605688 4056399 4679748 5408532 7019622 8112798 9359496 10529433 10817064 14039244 16225596 21058866 28078488 32451192 42117732 84235464 723324383 1446648766 2169973149 2893297532 4339946298 5786595064 6509919447 8679892596 13019838894 17359785192 19529758341 26039677788 39059516682 52079355576 58589275023 78119033364 117178550046 156238066728 175767825069 234357100092 351535650138 468714200184 703071300276 1406142600552