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119981791104400 = 24525476812
BaseRepresentation
bin11011010001111101110000…
…000010011100110110010000
3120201211010222022112022000201
4123101331300002130312100
5111211240202010320100
61103102512433024544
734162253430135031
oct3321756002346620
9521733868468021
10119981791104400
1135258aa0183465
12115593370b5154
1351c4307b49134
14218b2149c6a88
15dd1005c8736a
hex6d1f7009cd90

119981791104400 has 45 divisors (see below), whose sum is σ = 288256779450723. Its totient is φ = 47992628812800.

The previous prime is 119981791104389. The next prime is 119981791104403. The reversal of 119981791104400 is 4401197189911.

The square root of 119981791104400 is 10953620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40412822123664 + 79568968980736 = 6357108^2 + 8920144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119981791104403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 218798560 + ... + 219346240.

Almost surely, 2119981791104400 is an apocalyptic number.

119981791104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119981791104400 is the 10953620-th square number.

It is an amenable number.

119981791104400 is an abundant number, since it is smaller than the sum of its proper divisors (168274988346323).

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

119981791104400 is an frugal number, since it uses more digits than its factorization.

119981791104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095380 (or 547688 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 55.

The spelling of 119981791104400 in words is "one hundred nineteen trillion, nine hundred eighty-one billion, seven hundred ninety-one million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 547681 1095362 2190724 2738405 4381448 5476810 8762896 10953620 13692025 21907240 27384050 43814480 54768100 109536200 219072400 299954477761 599908955522 1199817911044 1499772388805 2399635822088 2999544777610 4799271644176 5999089555220 7498861944025 11998179110440 14997723888050 23996358220880 29995447776100 59990895552200 119981791104400