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140010442000 = 2453111337101131
BaseRepresentation
bin1000001001100101000…
…1011100110100010000
3111101101120100101110221
42002121101130310100
54243220133121000
6144153033402424
713054406056312
oct2023121346420
9441346311427
10140010442000
11544182763a0
1223175269414
1310283aa9ab0
146ac2b897b2
153996ad561a
hex209945cd10

140010442000 has 640 divisors, whose sum is σ = 415674395136. Its totient is φ = 44928000000.

The previous prime is 140010441997. The next prime is 140010442007. The reversal of 140010442000 is 244010041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (140010442007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1068781935 + ... + 1068782065.

Almost surely, 2140010442000 is an apocalyptic number.

140010442000 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 140010442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207837197568).

140010442000 is an abundant number, since it is smaller than the sum of its proper divisors (275663953136).

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

140010442000 is a wasteful number, since it uses less digits than its factorization.

140010442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 140010442000 its reverse (244010041), we get a palindrome (140254452041).

The spelling of 140010442000 in words is "one hundred forty billion, ten million, four hundred forty-two thousand".