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123214201440 = 25351123336023
BaseRepresentation
bin111001011000000100…
…0111000001001100000
3102210001000020221222020
41302300020320021200
54004320313421230
6132334231541440
711621235301041
oct1626010701140
9383030227866
10123214201440
1148289228250
121ba6822a880
13b808088c05
145d6c18a8c8
15331225b810
hex1cb0238260

123214201440 has 96 divisors (see below), whose sum is σ = 423408819456. Its totient is φ = 29870108160.

The previous prime is 123214201399. The next prime is 123214201441. The reversal of 123214201440 is 44102412321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123214201440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123214201441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11662732 + ... + 11673291.

It is an arithmetic number, because the mean of its divisors is an integer number (4410508536).

Almost surely, 2123214201440 is an apocalyptic number.

123214201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123214201440 is an abundant number, since it is smaller than the sum of its proper divisors (300194618016).

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

123214201440 is a wasteful number, since it uses less digits than its factorization.

123214201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336052 (or 23336044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 123214201440 its reverse (44102412321), we get a palindrome (167316613761).

The spelling of 123214201440 in words is "one hundred twenty-three billion, two hundred fourteen million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 23336023 46672046 70008069 93344092 116680115 140016138 186688184 233360230 256696253 280032276 350040345 373376368 466720460 513392506 560064552 700080690 746752736 770088759 933440920 1026785012 1120129104 1283481265 1400161380 1540177518 1866881840 2053570024 2240258208 2566962530 2800322760 3080355036 3733763680 3850443795 4107140048 5133925060 5600645520 6160710072 7700887590 8214280096 10267850120 11201291040 12321420144 15401775180 20535700240 24642840288 30803550360 41071400480 61607100720 123214201440