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1356132399400 = 235264811046237
BaseRepresentation
bin10011101110111111110…
…010100011100100101000
311210122102012100210100201
4103232333302203210220
5134204324343240100
62514555411441544
7166656140125522
oct23567762434450
94718365323321
101356132399400
11483150426719
1219a9b1bb62b4
139ab624ab85c
14498cc510a12
1525421d5736a
hex13bbfca3928

1356132399400 has 48 divisors (see below), whose sum is σ = 3153497342940. Its totient is φ = 542368742400.

The previous prime is 1356132399371. The next prime is 1356132399421. The reversal of 1356132399400 is 49932316531.

It can be written as a sum of positive squares in 6 ways, for example, as 867204212644 + 488928186756 = 931238^2 + 699234^2 .

It is a super-2 number, since 2×13561323994002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773082 + ... + 1819318.

Almost surely, 21356132399400 is an apocalyptic number.

1356132399400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356132399400 is an abundant number, since it is smaller than the sum of its proper divisors (1797364943540).

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

1356132399400 is a wasteful number, since it uses less digits than its factorization.

1356132399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052734 (or 1052725 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 1356132399400 in words is "one trillion, three hundred fifty-six billion, one hundred thirty-two million, three hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6481 12962 25924 32405 51848 64810 129620 162025 259240 324050 648100 1046237 1296200 2092474 4184948 5231185 8369896 10462370 20924740 26155925 41849480 52311850 104623700 209247400 6780661997 13561323994 27122647988 33903309985 54245295976 67806619970 135613239940 169516549925 271226479880 339033099850 678066199700 1356132399400