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125414454450 = 23521723778191
BaseRepresentation
bin111010011001101001…
…0001011010010110010
3102222201100102101200110
41310303102023102302
54023322100020300
6133340431002150
712026613162615
oct1646322132262
9388640371613
10125414454450
114920820a96a
1220381069356
13ba98b7877c
1460da49217c
1533e04c8550
hex1d3348b4b2

125414454450 has 144 divisors (see below), whose sum is σ = 339333888384. Its totient is φ = 30625459200.

The previous prime is 125414454379. The next prime is 125414454499. The reversal of 125414454450 is 54454414521.

It is a super-2 number, since 2×1254144544502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125414454399 and 125414454408.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1564855 + ... + 1643045.

It is an arithmetic number, because the mean of its divisors is an integer number (2356485336).

Almost surely, 2125414454450 is an apocalyptic number.

125414454450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125414454450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169666944192).

125414454450 is an abundant number, since it is smaller than the sum of its proper divisors (213919433934).

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

125414454450 is a wasteful number, since it uses less digits than its factorization.

125414454450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78277 (or 78255 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 125414454450 its reverse (54454414521), we get a palindrome (179868868971).

The spelling of 125414454450 in words is "one hundred twenty-five billion, four hundred fourteen million, four hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 37 50 51 74 75 85 102 111 150 170 185 222 255 289 370 425 510 555 578 629 850 867 925 1110 1258 1275 1445 1734 1850 1887 2550 2775 2890 3145 3774 4335 5550 6290 7225 8670 9435 10693 14450 15725 18870 21386 21675 31450 32079 43350 47175 53465 64158 78191 94350 106930 156382 160395 234573 267325 320790 390955 469146 534650 781910 801975 1172865 1329247 1603950 1954775 2345730 2658494 2893067 3909550 3987741 5786134 5864325 6646235 7975482 8679201 11728650 13292470 14465335 17358402 19938705 22597199 28930670 33231175 39877410 43396005 45194398 49182139 66462350 67791597 72326675 86792010 98364278 99693525 112985995 135583194 144653350 147546417 199387050 216980025 225971990 245910695 295092834 338957985 433960050 491821390 564929975 677915970 737732085 836096363 1129859950 1229553475 1475464170 1672192726 1694789925 2459106950 2508289089 3389579850 3688660425 4180481815 5016578178 7377320850 8360963630 12541445445 20902409075 25082890890 41804818150 62707227225 125414454450