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1023450501240 = 233352373564407
BaseRepresentation
bin11101110010010100110…
…01110101000001111000
310121211201000200022121000
432321022121311001320
5113232011312014430
62102100000045000
7133641025503216
oct16711231650170
93554630608530
101023450501240
11365052143632
12146427603760
137568479b88b
143776cac3cb6
151b9503b2e60
hexee4a675078

1023450501240 has 256 divisors, whose sum is σ = 3608598988800. Its totient is φ = 257477501952.

The previous prime is 1023450501211. The next prime is 1023450501317. The reversal of 1023450501240 is 421050543201.

1023450501240 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 505 + 0 + 124 + 0 = 666.

1023450501240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10234505012403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1531117 + ... + 2095523.

It is an arithmetic number, because the mean of its divisors is an integer number (14096089800).

Almost surely, 21023450501240 is an apocalyptic number.

1023450501240 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 1023450501240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804299494400).

1023450501240 is an abundant number, since it is smaller than the sum of its proper divisors (2585148487560).

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

1023450501240 is a wasteful number, since it uses less digits than its factorization.

1023450501240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564523 (or 564513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1023450501240 in words is "one trillion, twenty-three billion, four hundred fifty million, five hundred one thousand, two hundred forty".