Search a number
-
+
210144404160 = 263458107423
BaseRepresentation
bin1100001110110110010…
…1010010001011000000
3202002102022202210220000
43003231211102023000
511420333431413120
6240312231520000
721116400651225
oct3035545221300
9662368683800
10210144404160
1181138046199
1234888b29000
1316a7cbc94a2
14a2574b394c
1556edd58990
hex30ed9522c0

210144404160 has 140 divisors (see below), whose sum is σ = 747520707648. Its totient is φ = 56038500864.

The previous prime is 210144404159. The next prime is 210144404177. The reversal of 210144404160 is 61404441012.

210144404160 is a `hidden beast` number, since 210 + 1 + 4 + 440 + 4 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×2101444041602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4027792 + ... + 4079631.

Almost surely, 2210144404160 is an apocalyptic number.

210144404160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210144404160 is an abundant number, since it is smaller than the sum of its proper divisors (537376303488).

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

210144404160 is an equidigital number, since it uses as much as digits as its factorization.

210144404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107452 (or 8107433 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 210144404160 its reverse (61404441012), we get a palindrome (271548845172).

The spelling of 210144404160 in words is "two hundred ten billion, one hundred forty-four million, four hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 8107423 16214846 24322269 32429692 40537115 48644538 64859384 72966807 81074230 97289076 121611345 129718768 145933614 162148460 194578152 218900421 243222690 259437536 291867228 324296920 364834035 389156304 437800842 486445380 518875072 583734456 648593840 656701263 729668070 778312608 875601684 972890760 1094502105 1167468912 1297187680 1313402526 1459336140 1556625216 1751203368 1945781520 2189004210 2334937824 2594375360 2626805052 2918672280 3283506315 3502406736 3891563040 4378008420 4669875648 5253610104 5837344560 6567012630 7004813472 7783126080 8756016840 10507220208 11674689120 13134025260 14009626944 17512033680 21014440416 23349378240 26268050520 35024067360 42028880832 52536101040 70048134720 105072202080 210144404160