Search a number
-
+
1430199873088 = 26723760120509
BaseRepresentation
bin10100110011111110100…
…011100010111001000000
312001201121002101022011221
4110303332203202321000
5141413022131414323
63013005202444424
7205220454224200
oct24637643427100
95051532338157
101430199873088
115015a95a7998
121b1223063714
13a4b3751056c
144d317402400
15273095ba55d
hex14cfe8e2e40

1430199873088 has 168 divisors, whose sum is σ = 3396442955640. Its totient is φ = 595355443200.

The previous prime is 1430199873061. The next prime is 1430199873103. The reversal of 1430199873088 is 8803789910341.

It can be written as a sum of positive squares in 4 ways, for example, as 522509231104 + 907690641984 = 722848^2 + 952728^2 .

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, 69724978 + ... + 69745486.

It is an arithmetic number, because the mean of its divisors is an integer number (20216922355).

Almost surely, 21430199873088 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 1430199873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698221477820).

1430199873088 is an abundant number, since it is smaller than the sum of its proper divisors (1966243082552).

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

1430199873088 is a wasteful number, since it uses less digits than its factorization.

1430199873088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21173 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 1430199873088 in words is "one trillion, four hundred thirty billion, one hundred ninety-nine million, eight hundred seventy-three thousand, eighty-eight".