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1087187400144 = 243222993328357
BaseRepresentation
bin11111101001000010110…
…10110011010111010000
310211221012221220020221100
433310201122303113100
5120303024433301034
62151240315024400
7141355342266006
oct17644132632720
93757187806840
101087187400144
1138a089a4309a
12156854a3b100
137b6a149b841
143a8979a0a76
151d430c1a099
hexfd216b35d0

1087187400144 has 60 divisors (see below), whose sum is σ = 3042756332356. Its totient is φ = 362378935296.

The previous prime is 1087187400127. The next prime is 1087187400157. The reversal of 1087187400144 is 4410047817801.

1087187400144 is a `hidden beast` number, since 10 + 87 + 18 + 7 + 400 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 889037780544 + 198149619600 = 942888^2 + 445140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1087187400144.

It is a congruent number.

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, 3146814 + ... + 3475170.

Almost surely, 21087187400144 is an apocalyptic number.

It is an amenable number.

1087187400144 is an abundant number, since it is smaller than the sum of its proper divisors (1955568932212).

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

1087187400144 is a wasteful number, since it uses less digits than its factorization.

1087187400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351364 (or 351355 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 1087187400144 in words is "one trillion, eighty-seven billion, one hundred eighty-seven million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22993 45986 68979 91972 137958 183944 206937 275916 328357 367888 413874 551832 656714 827748 985071 1103664 1313428 1655496 1970142 2626856 2955213 3310992 3940284 5253712 5910426 7880568 11820852 15761136 23641704 47283408 7549912501 15099825002 22649737503 30199650004 45299475006 60399300008 67949212509 90598950012 120798600016 135898425018 181197900024 271796850036 362395800048 543593700072 1087187400144