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190060093440 = 213335724551
BaseRepresentation
bin1011000100000001110…
…1101110000000000000
3200011120121121010002000
42301000131232000000
511103220340442230
6223151251224000
716505603065410
oct2610035560000
9604517533060
10190060093440
1173670a71298
1230a028a8000
1314bcbc12369
1492add22640
154e259d6b60
hex2c4076e000

190060093440 has 448 divisors, whose sum is σ = 772291998720. Its totient is φ = 43440537600.

The previous prime is 190060093427. The next prime is 190060093451. The reversal of 190060093440 is 44390060091.

190060093440 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 600 + 9 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1900600934402 (a number of 23 digits) contains 22 as substring.

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 = 190060093395 and 190060093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7729165 + ... + 7753715.

Almost surely, 2190060093440 is an apocalyptic number.

190060093440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190060093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386145999360).

190060093440 is an abundant number, since it is smaller than the sum of its proper divisors (582231905280).

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

190060093440 is an equidigital number, since it uses as much as digits as its factorization.

190060093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24598 (or 24568 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 190060093440 in words is "one hundred ninety billion, sixty million, ninety-three thousand, four hundred forty".