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2301401040 = 243538325037
BaseRepresentation
bin1000100100101100…
…1001011111010000
312221101111021201120
42021023021133100
514203124313130
61020211002240
7111013405011
oct21113113720
95841437646
102301401040
11a81098734
12542899380
132a8a45a83
1417b915008
15d709b910
hex892c97d0

2301401040 has 80 divisors (see below), whose sum is σ = 7153256448. Its totient is φ = 612080128.

The previous prime is 2301401021. The next prime is 2301401051. The reversal of 2301401040 is 401041032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79402 + ... + 104438.

Almost surely, 22301401040 is an apocalyptic number.

2301401040 is a gapful number since it is divisible by the number (20) 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 2301401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576628224).

2301401040 is an abundant number, since it is smaller than the sum of its proper divisors (4851855408).

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

2301401040 is a wasteful number, since it uses less digits than its factorization.

2301401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25436 (or 25430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2301401040 is about 47972.9198611050. The cubic root of 2301401040 is about 1320.2740936783.

Adding to 2301401040 its reverse (401041032), we get a palindrome (2702442072).

The spelling of 2301401040 in words is "two billion, three hundred one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 15320 18384 22980 25037 30640 45960 50074 75111 91920 100148 125185 150222 200296 250370 300444 375555 400592 500740 600888 751110 1001480 1201776 1502220 2002960 3004440 6008880 9589171 19178342 28767513 38356684 47945855 57535026 76713368 95891710 115070052 143837565 153426736 191783420 230140104 287675130 383566840 460280208 575350260 767133680 1150700520 2301401040