Search a number
-
+
2345632140160 = 27529017126307
BaseRepresentation
bin100010001000100010100…
…100100000101110000000
322022020111010200210001101
4202020202210200232000
5301412323311441120
64553322445144144
7331315644136051
oct42104244405600
98266433623041
102345632140160
11824860213411
1231a72355b054
13140266243b3a
148175a1b2728
154103684590a
hex22222920b80

2345632140160 has 64 divisors (see below), whose sum is σ = 5607764482320. Its totient is φ = 938213093376.

The previous prime is 2345632140143. The next prime is 2345632140169. The reversal of 2345632140160 is 610412365432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345632140169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18507727 + ... + 18634033.

Almost surely, 22345632140160 is an apocalyptic number.

2345632140160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345632140160 is an abundant number, since it is smaller than the sum of its proper divisors (3262132342160).

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

2345632140160 is a wasteful number, since it uses less digits than its factorization.

2345632140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155343 (or 155331 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 2345632140160 in words is "two trillion, three hundred forty-five billion, six hundred thirty-two million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 29017 58034 116068 126307 145085 232136 252614 290170 464272 505228 580340 631535 928544 1010456 1160680 1263070 1857088 2020912 2321360 2526140 3714176 4041824 4642720 5052280 8083648 9285440 10104560 16167296 18570880 20209120 40418240 80836480 3665050219 7330100438 14660200876 18325251095 29320401752 36650502190 58640803504 73301004380 117281607008 146602008760 234563214016 293204017520 469126428032 586408035040 1172816070080 2345632140160