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40605130125 = 3253722113491
BaseRepresentation
bin100101110100010000…
…010001110110001101
310212210211201022222100
4211310100101312031
51131124403131000
630353112505313
72635142624400
oct456420216615
9125724638870
1040605130125
11162475a028a
127a526ab239
133aa1556221
141d72acbd37
1510c9bb9a00
hex974411d8d

40605130125 has 144 divisors (see below), whose sum is σ = 85576181184. Its totient is φ = 18469080000.

The previous prime is 40605130123. The next prime is 40605130169. The reversal of 40605130125 is 52103150604.

40605130125 is a `hidden beast` number, since 4 + 0 + 605 + 1 + 30 + 1 + 25 = 666.

It is not a de Polignac number, because 40605130125 - 21 = 40605130123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40605130123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11629630 + ... + 11633120.

It is an arithmetic number, because the mean of its divisors is an integer number (594279036).

Almost surely, 240605130125 is an apocalyptic number.

40605130125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40605130125 is an abundant number, since it is smaller than the sum of its proper divisors (44971051059).

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

40605130125 is a wasteful number, since it uses less digits than its factorization.

40605130125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 40605130125 its reverse (52103150604), we get a palindrome (92708280729).

The spelling of 40605130125 in words is "forty billion, six hundred five million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 211 225 245 315 375 441 525 633 735 875 1055 1125 1225 1477 1575 1899 2205 2625 3165 3491 3675 4431 5275 6125 7385 7875 9495 10339 10473 11025 13293 15825 17455 18375 22155 24437 26375 31017 31419 36925 47475 51695 52365 55125 66465 73311 79125 87275 93051 110775 122185 155085 157095 171059 184625 219933 237375 258475 261825 332325 366555 436375 465255 513177 553875 610925 736601 775425 785475 855295 1099665 1292375 1309125 1539531 1661625 1832775 2209803 2326275 2565885 3054625 3683005 3877125 3927375 4276475 5156207 5498325 6629409 7697655 9163875 11049015 11631375 12829425 15468621 18415025 21382375 25781035 27491625 33147045 36093449 38488275 46405863 55245075 64147125 77343105 92075125 108280347 128905175 165735225 180467245 192441375 232029315 276225375 324841041 386715525 541401735 644525875 828676125 902336225 1160146575 1624205205 1933577625 2707008675 4511681125 5800732875 8121026025 13535043375 40605130125