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125144422000 = 2453139714957
BaseRepresentation
bin111010010001100110…
…0000101011001110000
3102222000112022022210121
41310203030011121300
54022243433001000
6133253543140024
712020124015163
oct1644314053160
9388015268717
10125144422000
1149089844554
1220306744614
13ba54c40c60
1460b267dada
1533c6938b1a
hex1d23305670

125144422000 has 160 divisors (see below), whose sum is σ = 326277491904. Its totient is φ = 46150272000.

The previous prime is 125144421991. The next prime is 125144422001. The reversal of 125144422000 is 224441521.

It is a super-2 number, since 2×1251444220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125144422001) 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, 25243522 + ... + 25248478.

Almost surely, 2125144422000 is an apocalyptic number.

125144422000 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 125144422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163138745952).

125144422000 is an abundant number, since it is smaller than the sum of its proper divisors (201133069904).

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

125144422000 is a wasteful number, since it uses less digits than its factorization.

125144422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 125144422000 its reverse (224441521), we get a palindrome (125368863521).

The spelling of 125144422000 in words is "one hundred twenty-five billion, one hundred forty-four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 971 1000 1040 1300 1625 1942 2000 2600 3250 3884 4855 4957 5200 6500 7768 9710 9914 12623 13000 15536 19420 19828 24275 24785 25246 26000 38840 39656 48550 49570 50492 63115 64441 77680 79312 97100 99140 100984 121375 123925 126230 128882 194200 198280 201968 242750 247850 252460 257764 315575 322205 388400 396560 485500 495700 504920 515528 619625 631150 644410 971000 991400 1009840 1031056 1239250 1262300 1288820 1577875 1611025 1942000 1982800 2478500 2524600 2577640 3155750 3222050 4813247 4957000 5049200 5155280 6311500 6444100 8055125 9626494 9914000 12623000 12888200 16110250 19252988 24066235 25246000 25776400 32220500 38505976 48132470 62572211 64441000 77011952 96264940 120331175 125144422 128882000 192529880 240662350 250288844 312861055 385059760 481324700 500577688 601655875 625722110 962649400 1001155376 1203311750 1251444220 1564305275 1925298800 2406623500 2502888440 3128610550 4813247000 5005776880 6257221100 7821526375 9626494000 12514442200 15643052750 25028884400 31286105500 62572211000 125144422000