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1142746640000 = 2754721967229
BaseRepresentation
bin10000101000010001000…
…000011110111010000000
311001020121222102001222122
4100220101000132322000
5122210321114440000
62232545350223412
7145363220113100
oct20502100367200
94036558361878
101142746640000
114006aa761349
1216557b654b68
13839b6bc41b4
143d448769200
151ead3682085
hex10a1101ee80

1142746640000 has 960 divisors, whose sum is σ = 3550853988000. Its totient is φ = 364041216000.

The previous prime is 1142746639927. The next prime is 1142746640003. The reversal of 1142746640000 is 466472411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1142746640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4990159886 + ... + 4990160114.

Almost surely, 21142746640000 is an apocalyptic number.

1142746640000 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 1142746640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775426994000).

1142746640000 is an abundant number, since it is smaller than the sum of its proper divisors (2408107348000).

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

1142746640000 is an equidigital number, since it uses as much as digits as its factorization.

1142746640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 1142746640000 in words is "one trillion, one hundred forty-two billion, seven hundred forty-six million, six hundred forty thousand".