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1406143535640 = 233519161350067
BaseRepresentation
bin10100011101100100101…
…011111001101000011000
311222102111120010202000220
4110131210223321220120
5141014240221120030
62553550132000040
7203406355562454
oct24354453715030
94872446122026
101406143535640
114a2384405578
121a862a760020
13a27a264a36c
144c0b44dd664
152689c69ba10
hex14764af9a18

1406143535640 has 64 divisors (see below), whose sum is σ = 4240516700160. Its totient is φ = 373008401280.

The previous prime is 1406143535627. The next prime is 1406143535647. The reversal of 1406143535640 is 465353416041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1406143535592 and 1406143535601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406143535647) 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, 30652114 + ... + 30697953.

It is an arithmetic number, because the mean of its divisors is an integer number (66258073440).

Almost surely, 21406143535640 is an apocalyptic number.

1406143535640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406143535640 is an abundant number, since it is smaller than the sum of its proper divisors (2834373164520).

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

1406143535640 is a wasteful number, since it uses less digits than its factorization.

1406143535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61350272 (or 61350268 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1406143535640 in words is "one trillion, four hundred six billion, one hundred forty-three million, five hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 61350067 122700134 184050201 245400268 306750335 368100402 490800536 613500670 736200804 920251005 1227001340 1472401608 1840502010 2454002680 3681004020 7362008040 11717862797 23435725594 35153588391 46871451188 58589313985 70307176782 93742902376 117178627970 140614353564 175767941955 234357255940 281228707128 351535883910 468714511880 703071767820 1406143535640