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125156442000 = 24353179116533
BaseRepresentation
bin111010010001111100…
…1111011111110010000
3102222001100221000010210
41310203321323332100
54022310022121000
6133255052524120
712020331130002
oct1644371737620
9388040830123
10125156442000
1149095604337
122030a780640
13ba5758c095
1460b40cc372
1533c7a10350
hex1d23e7bf90

125156442000 has 160 divisors (see below), whose sum is σ = 405762065280. Its totient is φ = 33188313600.

The previous prime is 125156441951. The next prime is 125156442001. The reversal of 125156442000 is 244651521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125156442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015734 + ... + 1132266.

It is an arithmetic number, because the mean of its divisors is an integer number (2536012908).

Almost surely, 2125156442000 is an apocalyptic number.

125156442000 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 125156442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202881032640).

125156442000 is an abundant number, since it is smaller than the sum of its proper divisors (280605623280).

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

125156442000 is a wasteful number, since it uses less digits than its factorization.

125156442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116738 (or 116722 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 125156442000 in words is "one hundred twenty-five billion, one hundred fifty-six million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 5370 6000 7160 8592 8950 10740 13425 14320 17900 21480 22375 26850 35800 42960 44750 53700 67125 71600 89500 107400 116533 134250 179000 214800 233066 268500 349599 358000 466132 537000 582665 699198 932264 1074000 1165330 1398396 1747995 1864528 2330660 2796792 2913325 3495990 4661320 5593584 5826650 6991980 8739975 9322640 11653300 13983960 14566625 17479950 20859407 23306600 27967920 29133250 34959900 41718814 43699875 46613200 58266500 62578221 69919800 83437628 87399750 104297035 116533000 125156442 139839600 166875256 174799500 208594070 233066000 250312884 312891105 333750512 349599000 417188140 500625768 521485175 625782210 699198000 834376280 1001251536 1042970350 1251564420 1564455525 1668752560 2085940700 2503128840 2607425875 3128911050 4171881400 5006257680 5214851750 6257822100 7822277625 8343762800 10429703500 12515644200 15644555250 20859407000 25031288400 31289110500 41718814000 62578221000 125156442000