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1456125234016 = 25672272991907
BaseRepresentation
bin10101001100000111110…
…100111100101101100000
312011012111212112002112211
4111030013310330231200
5142324121024442031
63032533521131504
7210126066161635
oct25140764745540
95135455462484
101456125234016
115115a2808312
121b6259489b94
13a740967ca0b
145069662818c
1527d25628bb1
hex15307d3cb60

1456125234016 has 48 divisors (see below), whose sum is σ = 2922352122816. Its totient is φ = 714036318336.

The previous prime is 1456125234013. The next prime is 1456125234041. The reversal of 1456125234016 is 6104325216541.

It is a self number, because there is not a number n which added to its sum of digits gives 1456125234016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456125234013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009266 + ... + 1982641.

It is an arithmetic number, because the mean of its divisors is an integer number (60882335892).

Almost surely, 21456125234016 is an apocalyptic number.

1456125234016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1456125234016 is an abundant number, since it is smaller than the sum of its proper divisors (1466226888800).

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

1456125234016 is a wasteful number, since it uses less digits than its factorization.

1456125234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992211 (or 2992203 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1456125234016 in words is "one trillion, four hundred fifty-six billion, one hundred twenty-five million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 67 134 227 268 454 536 908 1072 1816 2144 3632 7264 15209 30418 60836 121672 243344 486688 2991907 5983814 11967628 23935256 47870512 95741024 200457769 400915538 679162889 801831076 1358325778 1603662152 2716651556 3207324304 5433303112 6414648608 10866606224 21733212448 45503913563 91007827126 182015654252 364031308504 728062617008 1456125234016