Search a number
-
+
125028178740 = 223251967545641
BaseRepresentation
bin111010001110001000…
…0101001101100110100
3102221201102120120000200
41310130100221230310
54022024203204430
6133234231440500
712014212661433
oct1643420515464
9387642516020
10125028178740
114902a169243
1220293826130
13ba36b30c6a
1460a106111a
1533bb626460
hex1d1c429b34

125028178740 has 144 divisors (see below), whose sum is σ = 405171923520. Its totient is φ = 31114575360.

The previous prime is 125028178727. The next prime is 125028178747. The reversal of 125028178740 is 47871820521.

125028178740 is a `hidden beast` number, since 1 + 2 + 502 + 8 + 1 + 78 + 74 + 0 = 666.

It is a super-3 number, since 3×1250281787403 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125028178747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43681 + ... + 501960.

Almost surely, 2125028178740 is an apocalyptic number.

125028178740 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 125028178740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202585961760).

125028178740 is an abundant number, since it is smaller than the sum of its proper divisors (280143744780).

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

125028178740 is a wasteful number, since it uses less digits than its factorization.

125028178740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545742 (or 545737 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 125028178740 in words is "one hundred twenty-five billion, twenty-eight million, one hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 228 268 285 335 342 380 402 570 603 670 684 804 855 1005 1140 1206 1273 1340 1710 2010 2412 2546 3015 3420 3819 4020 5092 6030 6365 7638 11457 12060 12730 15276 19095 22914 25460 38190 45828 57285 76380 114570 229140 545641 1091282 1636923 2182564 2728205 3273846 4910769 5456410 6547692 8184615 9821538 10367179 10912820 16369230 19643076 20734358 24553845 31101537 32738460 36557947 41468716 49107690 51835895 62203074 73115894 93304611 98215380 103671790 109673841 124406148 146231788 155507685 182789735 186609222 207343580 219347682 311015370 329021523 365579470 373218444 438695364 466523055 548369205 622030740 658043046 694600993 731158940 933046110 1096738410 1316086092 1389201986 1645107615 1866092220 2083802979 2193476820 2778403972 3290215230 3473004965 4167605958 6251408937 6580430460 6946009930 8335211916 10419014895 12502817874 13892019860 20838029790 25005635748 31257044685 41676059580 62514089370 125028178740