Search a number
-
+
125431443344520 = 23335130621889139
BaseRepresentation
bin11100100001010001001000…
…100111111100110010001000
3121110010010110221122221012000
4130201101020213330302020
5112420032043444011040
61122434224245351000
735264060044646565
oct3441211047746210
9543103427587160
10125431443344520
1136a6a1a3860205
1212099554708460
1354cb19923aa71
1422d8cb29b986c
15e77b5de52130
hex7214489fcc88

125431443344520 has 128 divisors (see below), whose sum is σ = 418108482288000. Its totient is φ = 33448091201280.

The previous prime is 125431443344503. The next prime is 125431443344567. The reversal of 125431443344520 is 25443344134521.

It is a happy number.

125431443344520 is a `hidden beast` number, since 1 + 2 + 5 + 43 + 1 + 4 + 43 + 3 + 44 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 140626111 + ... + 141515249.

It is an arithmetic number, because the mean of its divisors is an integer number (3266472517875).

Almost surely, 2125431443344520 is an apocalyptic number.

125431443344520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125431443344520 is an abundant number, since it is smaller than the sum of its proper divisors (292677038943480).

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

125431443344520 is a wasteful number, since it uses less digits than its factorization.

125431443344520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019780 (or 1019770 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 125431443344520 in words is "one hundred twenty-five trillion, four hundred thirty-one billion, four hundred forty-three million, three hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 130621 261242 391863 522484 653105 783726 889139 1044968 1175589 1306210 1567452 1778278 1959315 2351178 2612420 2667417 3134904 3526767 3556556 3918630 4445695 4702356 5224840 5334834 5877945 7053534 7113112 7837260 8002251 8891390 9404712 10669668 11755890 13337085 14107068 15674520 16004502 17633835 17782780 21339336 23511780 24006753 26674170 28214136 32009004 35267670 35565560 40011255 47023560 48013506 53348340 64018008 70535340 80022510 96027012 106696680 120033765 141070680 160045020 192054024 240067530 320090040 480135060 960270120 116140225319 232280450638 348420675957 464560901276 580701126595 696841351914 929121802552 1045262027871 1161402253190 1393682703828 1742103379785 2090524055742 2322804506380 2787365407656 3135786083613 3484206759570 4181048111484 4645609012760 5226310139355 6271572167226 6968413519140 8362096222968 10452620278710 12543144334452 13936827038280 15678930418065 20905240557420 25086288668904 31357860836130 41810481114840 62715721672260 125431443344520