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124842267040 = 25529106925169
BaseRepresentation
bin111010001000100101…
…1011101000110100000
3102221020110202021010011
41310101023131012200
54021134110021130
6133203551014304
712006464522011
oct1642113350640
9387213667104
10124842267040
1148a44229007
122024150a394
13ba0746a33a
1460844a9008
1533aa15152a
hex1d112dd1a0

124842267040 has 96 divisors (see below), whose sum is σ = 305407746000. Its totient is φ = 48167927808.

The previous prime is 124842267031. The next prime is 124842267041. The reversal of 124842267040 is 40762248421.

It can be written as a sum of positive squares in 8 ways, for example, as 36877825296 + 87964441744 = 192036^2 + 296588^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 124842266984 and 124842267002.

It is not an unprimeable number, because it can be changed into a prime (124842267041) 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, 4947576 + ... + 4972744.

Almost surely, 2124842267040 is an apocalyptic number.

124842267040 is a gapful number since it is divisible by the number (10) 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 124842267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152703873000).

124842267040 is an abundant number, since it is smaller than the sum of its proper divisors (180565478960).

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

124842267040 is a wasteful number, since it uses less digits than its factorization.

124842267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26282 (or 26274 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 124842267040 in words is "one hundred twenty-four billion, eight hundred forty-two million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1069 1160 2138 2320 4276 4640 5345 8552 10690 17104 21380 25169 31001 34208 42760 50338 62002 85520 100676 124004 125845 155005 171040 201352 248008 251690 310010 402704 496016 503380 620020 729901 805408 992032 1006760 1240040 1459802 2013520 2480080 2919604 3649505 4027040 4960160 5839208 7299010 11678416 14598020 23356832 26905661 29196040 53811322 58392080 107622644 116784160 134528305 215245288 269056610 430490576 538113220 780264169 860981152 1076226440 1560528338 2152452880 3121056676 3901320845 4304905760 6242113352 7802641690 12484226704 15605283380 24968453408 31210566760 62421133520 124842267040