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125642430320 = 24511374194117
BaseRepresentation
bin111010100000011011…
…1110101011101110000
3110000022020101202210012
41311000313311131300
54024303430232240
6133415213154052
712035352015401
oct1650067653560
9400266352705
10125642430320
1149314970580
122042548b928
13bb04179634
14611c8779a8
15340550bb65
hex1d40df5770

125642430320 has 160 divisors (see below), whose sum is σ = 335273916096. Its totient is φ = 43368652800.

The previous prime is 125642430317. The next prime is 125642430341. The reversal of 125642430320 is 23034246521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287902 + ... + 1382018.

Almost surely, 2125642430320 is an apocalyptic number.

125642430320 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 125642430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167636958048).

125642430320 is an abundant number, since it is smaller than the sum of its proper divisors (209631485776).

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

125642430320 is a wasteful number, since it uses less digits than its factorization.

125642430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94219 (or 94213 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 125642430320 its reverse (23034246521), we get a palindrome (148676676841).

The spelling of 125642430320 in words is "one hundred twenty-five billion, six hundred forty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 41 44 55 74 80 82 88 110 148 164 176 185 205 220 296 328 370 407 410 440 451 592 656 740 814 820 880 902 1480 1517 1628 1640 1804 2035 2255 2960 3034 3256 3280 3608 4070 4510 6068 6512 7216 7585 8140 9020 12136 15170 16280 16687 18040 24272 30340 32560 33374 36080 60680 66748 83435 94117 121360 133496 166870 188234 266992 333740 376468 470585 667480 752936 941170 1035287 1334960 1505872 1882340 2070574 3482329 3764680 3858797 4141148 5176435 6964658 7529360 7717594 8282296 10352870 13929316 15435188 16564592 17411645 19293985 20705740 27858632 30870376 34823290 38305619 38587970 41411480 42446767 55717264 61740752 69646580 76611238 77175940 82822960 84893534 139293160 142775489 153222476 154351880 169787068 191528095 212233835 278586320 285550978 306444952 308703760 339574136 383056190 424467670 571101956 612889904 679148272 713877445 766112380 848935340 1142203912 1427754890 1532224760 1570530379 1697870680 2284407824 2855509780 3064449520 3141060758 3395741360 5711019560 6282121516 7852651895 11422039120 12564243032 15705303790 25128486064 31410607580 62821215160 125642430320