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1218972731040 = 25325846508841
BaseRepresentation
bin10001101111010000011…
…011111100011010100000
311022112101022020201010200
4101233100123330122200
5124432424004343130
62331553252025200
7154032165153501
oct21572033743240
94275338221120
101218972731040
1142aa663677a9
121782b3602200
138ac441c858c
1442dda204ba8
1521a9568a760
hex11bd06fc6a0

1218972731040 has 72 divisors (see below), whose sum is σ = 4159744449588. Its totient is φ = 325059394560.

The previous prime is 1218972731033. The next prime is 1218972731057. The reversal of 1218972731040 is 401372798121.

It can be written as a sum of positive squares in 2 ways, for example, as 1194745185936 + 24227545104 = 1093044^2 + 155652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423252981 + ... + 423255860.

Almost surely, 21218972731040 is an apocalyptic number.

1218972731040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1218972731040 is an abundant number, since it is smaller than the sum of its proper divisors (2940771718548).

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

1218972731040 is a wasteful number, since it uses less digits than its factorization.

1218972731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846508862 (or 846508851 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1218972731040 in words is "one trillion, two hundred eighteen billion, nine hundred seventy-two million, seven hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 846508841 1693017682 2539526523 3386035364 4232544205 5079053046 6772070728 7618579569 8465088410 10158106092 12697632615 13544141456 15237159138 16930176820 20316212184 25395265230 27088282912 30474318276 33860353640 38092897845 40632424368 50790530460 60948636552 67720707280 76185795690 81264848736 101581060920 121897273104 135441414560 152371591380 203162121840 243794546208 304743182760 406324243680 609486365520 1218972731040