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140451364368 = 243371910124203
BaseRepresentation
bin1000001011001110001…
…1011011111000010000
3111102112022000120021000
42002303203123320100
54300121022124433
6144304504102000
713101341620260
oct2026343337020
9442468016230
10140451364368
1154624151947
1223278a64900
13103242489c3
146b255637a0
1539c067e113
hex20b38dbe10

140451364368 has 320 divisors, whose sum is σ = 489811507200. Its totient is φ = 37638950400.

The previous prime is 140451364327. The next prime is 140451364373. The reversal of 140451364368 is 863463154041.

140451364368 is a `hidden beast` number, since 1 + 40 + 4 + 513 + 64 + 36 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5790955 + ... + 5815157.

It is an arithmetic number, because the mean of its divisors is an integer number (1530660960).

Almost surely, 2140451364368 is an apocalyptic number.

140451364368 is a gapful number since it is divisible by the number (18) 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 140451364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244905753600).

140451364368 is an abundant number, since it is smaller than the sum of its proper divisors (349360142832).

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

140451364368 is a wasteful number, since it uses less digits than its factorization.

140451364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24347 (or 24335 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 140451364368 in words is "one hundred forty billion, four hundred fifty-one million, three hundred sixty-four thousand, three hundred sixty-eight".