Search a number
-
+
1410621488640 = 29335713224267
BaseRepresentation
bin10100100001101111100…
…101111011111000000000
311222212001122012022202000
4110201233211323320000
5141102423100114030
63000010334024000
7203625341550150
oct24415745737000
94885048168660
101410621488640
114a4272067981
121a947a348000
13a30372a4ab0
144c3bb10a760
1526a60882860
hex1486f97be00

1410621488640 has 640 divisors, whose sum is σ = 6166975288320. Its totient is φ = 297624305664.

The previous prime is 1410621488611. The next prime is 1410621488753. The reversal of 1410621488640 is 468841260141.

1410621488640 is a `hidden beast` number, since 1 + 4 + 10 + 621 + 4 + 8 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6177787 + ... + 6402053.

It is an arithmetic number, because the mean of its divisors is an integer number (9635898888).

Almost surely, 21410621488640 is an apocalyptic number.

1410621488640 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 1410621488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083487644160).

1410621488640 is an abundant number, since it is smaller than the sum of its proper divisors (4756353799680).

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

1410621488640 is a wasteful number, since it uses less digits than its factorization.

1410621488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224319 (or 224297 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1410621488640 in words is "one trillion, four hundred ten billion, six hundred twenty-one million, four hundred eighty-eight thousand, six hundred forty".