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1450036014240 = 2535111953272719
BaseRepresentation
bin10101000110011100111…
…000011010110010100000
312010121210111120200100110
4111012130320122302200
5142224133204423430
63030045400051320
7206522146520412
oct25063470326240
95117714520313
101450036014240
11509a58589380
121b503a163b40
13a6978c761a8
1450279a329b2
1527abac6a7b0
hex1519ce1aca0

1450036014240 has 384 divisors, whose sum is σ = 5344090214400. Its totient is φ = 326737981440.

The previous prime is 1450036014199. The next prime is 1450036014241. The reversal of 1450036014240 is 424106300541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1450036014198 and 1450036014207.

It is not an unprimeable number, because it can be changed into a prime (1450036014241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5180601 + ... + 5453319.

It is an arithmetic number, because the mean of its divisors is an integer number (13916901600).

Almost surely, 21450036014240 is an apocalyptic number.

1450036014240 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 1450036014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672045107200).

1450036014240 is an abundant number, since it is smaller than the sum of its proper divisors (3894054200160).

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

1450036014240 is a wasteful number, since it uses less digits than its factorization.

1450036014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272820 (or 272812 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1450036014240 in words is "one trillion, four hundred fifty billion, thirty-six million, fourteen thousand, two hundred forty".