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140142002233200 = 243521158718086573
BaseRepresentation
bin11111110111010101011010…
…010000101101111101110000
3200101012110000002111101221120
4133313111122100231331300
5121332041310032430300
61214020202543422240
741342632313251002
oct3767253220557560
9611173002441846
10140142002233200
1140720986847870
1213874560bb4980
13602744604c366
142686ca27d6372
151130635db23a0
hex7f755a42df70

140142002233200 has 240 divisors, whose sum is σ = 490566921457536. Its totient is φ = 33915939814400.

The previous prime is 140142002233169. The next prime is 140142002233231. The reversal of 140142002233200 is 2332200241041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140142002233169) and next prime (140142002233231).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294887 + ... + 16791686.

Almost surely, 2140142002233200 is an apocalyptic number.

140142002233200 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 140142002233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245283460728768).

140142002233200 is an abundant number, since it is smaller than the sum of its proper divisors (350424919224336).

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

140142002233200 is a wasteful number, since it uses less digits than its factorization.

140142002233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087192 (or 18087181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 140142002233200 its reverse (2332200241041), we get a palindrome (142474202474241).

The spelling of 140142002233200 in words is "one hundred forty trillion, one hundred forty-two billion, two million, two hundred thirty-three thousand, two hundred".