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1380417325408 = 2511356932
BaseRepresentation
bin10100000101100111010…
…010001100100101100000
311212222002122201212001201
4110011213102030211200
5140104043313403113
62534053250010544
7201506012444212
oct24054722144540
94788078655051
101380417325408
11492482658000
121a364ab76a54
13a0232828764
144ab539185b2
1525d93d7acdd
hex1416748c960

1380417325408 has 72 divisors (see below), whose sum is σ = 2989787254776. Its totient is φ = 627352204160.

The previous prime is 1380417325387. The next prime is 1380417325447. The reversal of 1380417325408 is 8045237140831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242473410 + ... + 242479102.

It is an arithmetic number, because the mean of its divisors is an integer number (41524822983).

Almost surely, 21380417325408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380417325408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494893627388).

1380417325408 is an abundant number, since it is smaller than the sum of its proper divisors (1609369929368).

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

1380417325408 is an frugal number, since it uses more digits than its factorization.

1380417325408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 1380417325408 in words is "one trillion, three hundred eighty billion, four hundred seventeen million, three hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 5693 10648 11386 21296 22772 42592 45544 62623 91088 125246 182176 250492 500984 688853 1001968 1377706 2003936 2755412 5510824 7577383 11021648 15154766 22043296 30309532 32410249 60619064 64820498 121238128 129640996 242476256 259281992 356512739 518563984 713025478 1037127968 1426050956 2852101912 3921640129 5704203824 7843280258 11408407648 15686560516 31373121032 43138041419 62746242064 86276082838 125492484128 172552165676 345104331352 690208662704 1380417325408