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140148404496 = 2434103992
BaseRepresentation
bin1000001010000101111…
…1101111000100010000
3111101202011221121110000
42002201133233010100
54244010442420441
6144214442410000
713061002532322
oct2024137570420
9441664847400
10140148404496
1154489136691
12231b3500900
13102a65528c9
146ad721d612
1539a3c882b6
hex20a17ef110

140148404496 has 75 divisors (see below), whose sum is σ = 405669153351. Its totient is φ = 46711642464.

The previous prime is 140148404489. The next prime is 140148404521. The reversal of 140148404496 is 694404841041.

It is a happy number.

The square root of 140148404496 is 374364.

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

140148404496 is a `hidden beast` number, since 1 + 40 + 1 + 484 + 0 + 44 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13471905 + ... + 13482303.

Almost surely, 2140148404496 is an apocalyptic number.

140148404496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140148404496 is the 374364-th square number.

It is an amenable number.

140148404496 is an abundant number, since it is smaller than the sum of its proper divisors (265520748855).

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

140148404496 is an frugal number, since it uses more digits than its factorization.

140148404496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 140148 and 404496, that added together give a square (544644 = 7382).

The spelling of 140148404496 in words is "one hundred forty billion, one hundred forty-eight million, four hundred four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10399 20798 31197 41596 62394 83192 93591 124788 166384 187182 249576 280773 374364 499152 561546 748728 842319 1123092 1497456 1684638 2246184 3369276 4492368 6738552 13477104 108139201 216278402 324417603 432556804 648835206 865113608 973252809 1297670412 1730227216 1946505618 2595340824 2919758427 3893011236 5190681648 5839516854 7786022472 8759275281 11679033708 15572044944 17518550562 23358067416 35037101124 46716134832 70074202248 140148404496