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10134432424440 = 2332528151201179
BaseRepresentation
bin1001001101111001101100…
…1111101010000111111000
31022212211202000112222201100
42103132123033222013320
52312020304200040230
633315405522251400
72064121453164012
oct223363317520770
938784660488640
1010134432424440
113257a96999245
121178154ab6b60
135868994066bc
1427071b1531b2
15128946e97660
hex9379b3ea1f8

10134432424440 has 48 divisors (see below), whose sum is σ = 32936905380600. Its totient is φ = 2702515313088.

The previous prime is 10134432424409. The next prime is 10134432424451. The reversal of 10134432424440 is 4442423443101.

10134432424440 is a `hidden beast` number, since 1 + 0 + 1 + 344 + 32 + 4 + 244 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10134432424395 and 10134432424404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14075600230 + ... + 14075600949.

Almost surely, 210134432424440 is an apocalyptic number.

10134432424440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134432424440 is an abundant number, since it is smaller than the sum of its proper divisors (22802472956160).

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

10134432424440 is a wasteful number, since it uses less digits than its factorization.

10134432424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28151201196 (or 28151201189 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10134432424440 its reverse (4442423443101), we get a palindrome (14576855867541).

The spelling of 10134432424440 in words is "ten trillion, one hundred thirty-four billion, four hundred thirty-two million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28151201179 56302402358 84453603537 112604804716 140756005895 168907207074 225209609432 253360810611 281512011790 337814414148 422268017685 506721621222 563024023580 675628828296 844536035370 1013443242444 1126048047160 1266804053055 1689072070740 2026886484888 2533608106110 3378144141480 5067216212220 10134432424440