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125442035040 = 2535737333939
BaseRepresentation
bin111010011010011101…
…1011000110101100000
3102222210021022122010210
41310310323120311200
54023401130110130
6133343254054120
712030366463530
oct1646473306540
9388707278123
10125442035040
1149221838643
122038a34a340
13baa17b444a
1460dddd14c0
1533e2b255b0
hex1d34ed8d60

125442035040 has 96 divisors (see below), whose sum is σ = 451591338240. Its totient is φ = 28672464384.

The previous prime is 125442035021. The next prime is 125442035041. The reversal of 125442035040 is 40530244521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125442034989 and 125442035007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125442035041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18663610 + ... + 18670329.

It is an arithmetic number, because the mean of its divisors is an integer number (4704076440).

Almost surely, 2125442035040 is an apocalyptic number.

125442035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125442035040 is an abundant number, since it is smaller than the sum of its proper divisors (326149303200).

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

125442035040 is a wasteful number, since it uses less digits than its factorization.

125442035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37333964 (or 37333956 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 125442035040 its reverse (40530244521), we get a palindrome (165972279561).

The spelling of 125442035040 in words is "one hundred twenty-five billion, four hundred forty-two million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 37333939 74667878 112001817 149335756 186669695 224003634 261337573 298671512 373339390 448007268 522675146 560009085 597343024 746678780 784012719 896014536 1045350292 1120018170 1194686048 1306687865 1493357560 1568025438 1792029072 2090700584 2240036340 2613375730 2986715120 3136050876 3584058144 3920063595 4181401168 4480072680 5226751460 5973430240 6272101752 7840127190 8362802336 8960145360 10453502920 12544203504 15680254380 17920290720 20907005840 25088407008 31360508760 41814011680 62721017520 125442035040