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201340231040 = 27513179135193
BaseRepresentation
bin1011101110000011010…
…0000001110110000000
3201020200202011110212002
42323200310001312000
511244321044343130
6232254443523132
720355253504064
oct2734064016600
9636622143762
10201340231040
117842a347663
12330305294a8
1315ca8ba1bb0
149a600b5aa4
155385e5eb45
hex2ee0d01d80

201340231040 has 128 divisors (see below), whose sum is σ = 521253986400. Its totient is φ = 73925148672.

The previous prime is 201340230953. The next prime is 201340231049. The reversal of 201340231040 is 40132043102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201340231049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421684 + ... + 1556876.

Almost surely, 2201340231040 is an apocalyptic number.

201340231040 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 201340231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260626993200).

201340231040 is an abundant number, since it is smaller than the sum of its proper divisors (319913755360).

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

201340231040 is a wasteful number, since it uses less digits than its factorization.

201340231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135404 (or 135392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201340231040 its reverse (40132043102), we get a palindrome (241472274142).

The spelling of 201340231040 in words is "two hundred one billion, three hundred forty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 179 208 260 320 358 416 520 640 716 832 895 1040 1432 1664 1790 2080 2327 2864 3580 4160 4654 5728 7160 8320 9308 11456 11635 14320 18616 22912 23270 28640 37232 46540 57280 74464 93080 114560 135193 148928 186160 270386 297856 372320 540772 675965 744640 1081544 1351930 1489280 1757509 2163088 2703860 3515018 4326176 5407720 7030036 8652352 8787545 10815440 14060072 17304704 17575090 21630880 24199547 28120144 35150180 43261760 48399094 56240288 70300360 86523520 96798188 112480576 120997735 140600720 193596376 224961152 241995470 281201440 314594111 387192752 483990940 562402880 629188222 774385504 967981880 1124805760 1258376444 1548771008 1572970555 1935963760 2516752888 3097542016 3145941110 3871927520 5033505776 6291882220 7743855040 10067011552 12583764440 15487710080 20134023104 25167528880 40268046208 50335057760 100670115520 201340231040