Search a number
-
+
40125535320 = 233513191353763
BaseRepresentation
bin100101010111101010…
…110001010001011000
310211120102021101120210
4211113222301101120
51124134114112240
630233341251120
72620230264663
oct452752612130
9124512241523
1040125535320
1116020900642
127939b63aa0
133a26096b10
141d291286da
15109ca32780
hex957ab1458

40125535320 has 128 divisors (see below), whose sum is σ = 136459411200. Its totient is φ = 9357202944.

The previous prime is 40125535309. The next prime is 40125535327. The reversal of 40125535320 is 2353552104.

It is a super-2 number, since 2×401255353202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40125535327) 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 31 ways as a sum of consecutive naturals, for example, 647242 + ... + 706521.

It is an arithmetic number, because the mean of its divisors is an integer number (1066089150).

Almost surely, 240125535320 is an apocalyptic number.

40125535320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40125535320 is an abundant number, since it is smaller than the sum of its proper divisors (96333875880).

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

40125535320 is a wasteful number, since it uses less digits than its factorization.

40125535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353809 (or 1353805 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 40125535320 in words is "forty billion, one hundred twenty-five million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 1353763 2707526 4061289 5415052 6768815 8122578 10830104 13537630 16245156 17598919 20306445 25721497 27075260 32490312 35197838 40612890 51442994 52796757 54150520 70395676 77164491 81225780 87994595 102885988 105593514 128607485 140791352 154328982 162451560 175989190 205771976 211187028 257214970 263983785 308657964 334379461 351978380 385822455 422374056 514429940 527967570 617315928 668758922 703956760 771644910 1003138383 1028859880 1055935140 1337517844 1543289820 1671897305 2006276766 2111870280 2675035688 3086579640 3343794610 4012553532 5015691915 6687589220 8025107064 10031383830 13375178440 20062767660 40125535320