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1369014800040 = 23325616672
BaseRepresentation
bin10011111010111111101…
…001000000111010101000
311211212122222212112211100
4103322333221000322220
5134412220242100130
62524530002201400
7200623314541056
oct23727751007250
94755588775740
101369014800040
11488661189a18
121a13a8353260
139c1363b7224
144a3913c71d6
1525927cc9c60
hex13ebfa40ea8

1369014800040 has 72 divisors (see below), whose sum is σ = 4449370251690. Its totient is φ = 365064693312.

The previous prime is 1369014799979. The next prime is 1369014800057. The reversal of 1369014800040 is 400084109631.

1369014800040 is a `hidden beast` number, since 136 + 9 + 0 + 1 + 480 + 0 + 0 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1232113320036 + 136901480004 = 1110006^2 + 370002^2 .

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

It is a super-2 number, since 2×13690148000402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1369014799968 and 1369014800004.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22169287 + ... + 22230953.

Almost surely, 21369014800040 is an apocalyptic number.

1369014800040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1369014800040 is an abundant number, since it is smaller than the sum of its proper divisors (3080355451650).

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

1369014800040 is an frugal number, since it uses more digits than its factorization.

1369014800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123351 (or 61677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 1369014800040 its reverse (400084109631), we get a palindrome (1769098909671).

The spelling of 1369014800040 in words is "one trillion, three hundred sixty-nine billion, fourteen million, eight hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 61667 123334 185001 246668 308335 370002 493336 555003 616670 740004 925005 1110006 1233340 1480008 1850010 2220012 2466680 2775015 3700020 4440024 5550030 7400040 11100060 22200120 3802818889 7605637778 11408456667 15211275556 19014094445 22816913334 30422551112 34225370001 38028188890 45633826668 57042283335 68450740002 76056377780 91267653336 114084566670 136901480004 152112755560 171126850005 228169133340 273802960008 342253700010 456338266680 684507400020 1369014800040