Search a number
-
+
380322129420 = 2232519111205301
BaseRepresentation
bin1011000100011001111…
…01110010011000001100
31100100200022011222020100
411202030331302120030
522212344431120140
6450414555051100
736322510521642
oct5421475623014
91310608158210
10380322129420
11137325a21a42
1261861140a90
1329b3090bc3c
141459c9b1192
159d5e0ad530
hex588cf7260c

380322129420 has 72 divisors (see below), whose sum is σ = 1214361897840. Its totient is φ = 96081379200.

The previous prime is 380322129419. The next prime is 380322129463. The reversal of 380322129420 is 24921223083.

380322129420 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 221 + 2 + 9 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 55599231 + ... + 55606070.

It is an arithmetic number, because the mean of its divisors is an integer number (16866137470).

Almost surely, 2380322129420 is an apocalyptic number.

380322129420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380322129420 is an abundant number, since it is smaller than the sum of its proper divisors (834039768420).

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

380322129420 is a wasteful number, since it uses less digits than its factorization.

380322129420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111205335 (or 111205330 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 380322129420 in words is "three hundred eighty billion, three hundred twenty-two million, one hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 111205301 222410602 333615903 444821204 556026505 667231806 1000847709 1112053010 1334463612 1668079515 2001695418 2112900719 2224106020 3336159030 4003390836 4225801438 5004238545 6338702157 6672318060 8451602876 10008477090 10564503595 12677404314 19016106471 20016954180 21129007190 25354808628 31693510785 38032212942 42258014380 63387021570 76064425884 95080532355 126774043140 190161064710 380322129420