Search a number
-
+
1462480463040 = 26355097873803
BaseRepresentation
bin10101010010000010101…
…000001110010011000000
312011210220210000011211120
4111102002220032103000
5142430124444304130
63035504303512240
7210442425553302
oct25220250162300
95153823004746
101462480463040
11514264104a03
121b75318b8680
13a7bb0212a6c
1450ada6a5972
152809852e910
hex15482a0e4c0

1462480463040 has 224 divisors, whose sum is σ = 4659634632960. Its totient is φ = 388631801856.

The previous prime is 1462480463033. The next prime is 1462480463057. The reversal of 1462480463040 is 403640842641.

It is a junction number, because it is equal to n+sod(n) for n = 1462480462983 and 1462480463001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384557779 + ... + 384561581.

Almost surely, 21462480463040 is an apocalyptic number.

1462480463040 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 1462480463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329817316480).

1462480463040 is an abundant number, since it is smaller than the sum of its proper divisors (3197154169920).

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

1462480463040 is a wasteful number, since it uses less digits than its factorization.

1462480463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1462480463040 in words is "one trillion, four hundred sixty-two billion, four hundred eighty million, four hundred sixty-three thousand, forty".