Search a number
-
+
125629642240 = 295197249107
BaseRepresentation
bin111010100000000011…
…1000011011000000000
3110000021100100001211121
41311000013003120000
54024242142022430
6133414035122024
712035135224354
oct1650007033000
9400240301747
10125629642240
1149308726713
1220421143314
13bb0161ca1b
14611aca9464
153404332a7a
hex1d401c3600

125629642240 has 80 divisors (see below), whose sum is σ = 302746930992. Its totient is φ = 49996570624.

The previous prime is 125629642231. The next prime is 125629642249. The reversal of 125629642240 is 42246926521.

It is an interprime number because it is at equal distance from previous prime (125629642231) and next prime (125629642249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125629642249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379767 + ... + 628873.

Almost surely, 2125629642240 is an apocalyptic number.

125629642240 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 125629642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151373465496).

125629642240 is an abundant number, since it is smaller than the sum of its proper divisors (177117288752).

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

125629642240 is an equidigital number, since it uses as much as digits as its factorization.

125629642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249327 (or 249311 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 125629642240 in words is "one hundred twenty-five billion, six hundred twenty-nine million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 512 640 788 985 1280 1576 1970 2560 3152 3940 6304 7880 12608 15760 25216 31520 50432 63040 100864 126080 249107 252160 498214 504320 996428 1245535 1992856 2491070 3985712 4982140 7971424 9964280 15942848 19928560 31885696 39857120 49074079 63771392 79714240 98148158 127542784 159428480 196296316 245370395 318856960 392592632 490740790 637713920 785185264 981481580 1570370528 1962963160 3140741056 3925926320 6281482112 7851852640 12562964224 15703705280 25125928448 31407410560 62814821120 125629642240