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1380468718400 = 26522929751481
BaseRepresentation
bin10100000101101010010…
…110001111101101000000
311212222020020102212222212
4110011222112033231000
5140104144442442100
62534102323321252
7201510205333052
oct24055226175500
94788206385885
101380468718400
114924a966a352
121a3664220228
13a0240380c05
144ab5a6958d2
1525d9862d635
hex1416a58fb40

1380468718400 has 84 divisors (see below), whose sum is σ = 3513947539020. Its totient is φ = 533146521600.

The previous prime is 1380468718379. The next prime is 1380468718459. The reversal of 1380468718400 is 48178640831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9171509824 + 1371297208576 = 95768^2 + 1171024^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 14829341 + ... + 14922140.

Almost surely, 21380468718400 is an apocalyptic number.

1380468718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380468718400 is an abundant number, since it is smaller than the sum of its proper divisors (2133478820620).

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

1380468718400 is a wasteful number, since it uses less digits than its factorization.

1380468718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29751532 (or 29751517 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 1380468718400 in words is "one trillion, three hundred eighty billion, four hundred sixty-eight million, seven hundred eighteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 46400 29751481 59502962 119005924 148757405 238011848 297514810 476023696 595029620 743787025 862792949 952047392 1190059240 1487574050 1725585898 1904094784 2380118480 2975148100 3451171796 4313964745 4760236960 5950296200 6902343592 8627929490 9520473920 11900592400 13804687184 17255858980 21569823725 23801184800 27609374368 34511717960 43139647450 47602369600 55218748736 69023435920 86279294900 138046871840 172558589800 276093743680 345117179600 690234359200 1380468718400