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142308751674000 = 2435380942196949
BaseRepresentation
bin100000010110110111010110…
…100101111000101010010000
3200122212120202120211112002110
4200112313112211320222100
5122123041310412032000
61222355423223545320
741655316346520162
oct4026672645705220
9618776676745073
10142308751674000
114138689137a55a
1213b64480bbb240
136153871c791a2
14271dacd332932
15116bb9d151850
hex816dd6978a90

142308751674000 has 320 divisors, whose sum is σ = 459545542560000. Its totient is φ = 37887655219200.

The previous prime is 142308751673947. The next prime is 142308751674007. The reversal of 142308751674000 is 476157803241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (142308751674007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20479022526 + ... + 20479029474.

It is an arithmetic number, because the mean of its divisors is an integer number (1436079820500).

Almost surely, 2142308751674000 is an apocalyptic number.

142308751674000 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 142308751674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229772771280000).

142308751674000 is an abundant number, since it is smaller than the sum of its proper divisors (317236790886000).

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

142308751674000 is a wasteful number, since it uses less digits than its factorization.

142308751674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 142308751674000 in words is "one hundred forty-two trillion, three hundred eight billion, seven hundred fifty-one million, six hundred seventy-four thousand".