Search a number
-
+
1350414055540 = 225112811688067
BaseRepresentation
bin10011101001101010111…
…100110011100001110100
311210002122200021211021101
4103221222330303201310
5134111121444234130
62512212135455444
7166364343036214
oct23515274634164
94702580254241
101350414055540
11480786590300
12199876b27584
139a46088a234
1449508c9c244
15251d9d081ca
hex13a6af33874

1350414055540 has 72 divisors (see below), whose sum is σ = 3120960852576. Its totient is φ = 490453444800.

The previous prime is 1350414055517. The next prime is 1350414055559. The reversal of 1350414055540 is 455504140531.

It is a self number, because there is not a number n which added to its sum of digits gives 1350414055540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618587 + ... + 2306653.

It is an arithmetic number, because the mean of its divisors is an integer number (43346678508).

Almost surely, 21350414055540 is an apocalyptic number.

1350414055540 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 1350414055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560480426288).

1350414055540 is an abundant number, since it is smaller than the sum of its proper divisors (1770546797036).

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

1350414055540 is a wasteful number, since it uses less digits than its factorization.

1350414055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688909 (or 688896 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 1350414055540 in words is "one trillion, three hundred fifty billion, four hundred fourteen million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 811 1210 1622 2420 3244 4055 8110 8921 16220 17842 35684 44605 89210 98131 178420 196262 392524 490655 688067 981310 1376134 1962620 2752268 3440335 6880670 7568737 13761340 15137474 30274948 37843685 75687370 83256107 151374740 166512214 333024428 416280535 558022337 832561070 1116044674 1665122140 2232089348 2790111685 5580223370 6138245707 11160446740 12276491414 24552982828 30691228535 61382457070 67520702777 122764914140 135041405554 270082811108 337603513885 675207027770 1350414055540