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1023873957414 = 2337211236125073
BaseRepresentation
bin11101110011000111010…
…01001011111000100110
310121212210112111010021000
432321203221023320212
5113233343213114124
62102210004134130
7133654360020300
oct16714351137046
93555715433230
101023873957414
1136524a17a510
12146525397346
1375721433769
14377ad032970
151b97765b6c9
hexee63a4be26

1023873957414 has 384 divisors, whose sum is σ = 3062413992960. Its totient is φ = 250198502400.

The previous prime is 1023873957389. The next prime is 1023873957473. The reversal of 1023873957414 is 4147593783201.

1023873957414 is a `hidden beast` number, since 1 + 0 + 2 + 38 + 7 + 39 + 574 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40823182 + ... + 40848254.

It is an arithmetic number, because the mean of its divisors is an integer number (7975036440).

Almost surely, 21023873957414 is an apocalyptic number.

1023873957414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023873957414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531206996480).

1023873957414 is an abundant number, since it is smaller than the sum of its proper divisors (2038540035546).

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

1023873957414 is a wasteful number, since it uses less digits than its factorization.

1023873957414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25193 (or 25180 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1023873957414 in words is "one trillion, twenty-three billion, eight hundred seventy-three million, nine hundred fifty-seven thousand, four hundred fourteen".