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40231112033000 = 2353735931599583
BaseRepresentation
bin10010010010111000010010…
…01001000100001011101000
312021110001112100222201200102
421021130021021010023220
520233121304140024000
6221321530121124532
711321413313650220
oct1111341111041350
9167401470881612
1040231112033000
1111900a11a13139
124619086029748
13195aa15483705
149d12a6597080
1549b78472b3d5
hex2497092442e8

40231112033000 has 128 divisors (see below), whose sum is σ = 107619499653120. Its totient is φ = 13789676505600.

The previous prime is 40231112032987. The next prime is 40231112033009. The reversal of 40231112033000 is 33021113204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40231112033009) 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, 24351209 + ... + 25950791.

It is an arithmetic number, because the mean of its divisors is an integer number (840777341040).

Almost surely, 240231112033000 is an apocalyptic number.

40231112033000 is a gapful number since it is divisible by the number (40) 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 40231112033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53809749826560).

40231112033000 is an abundant number, since it is smaller than the sum of its proper divisors (67388387620120).

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

40231112033000 is a wasteful number, since it uses less digits than its factorization.

40231112033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603204 (or 1603190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 40231112033000 its reverse (33021113204), we get a palindrome (40264133146204).

The spelling of 40231112033000 in words is "forty trillion, two hundred thirty-one billion, one hundred twelve million, thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 3593 7000 7186 14372 17965 25151 28744 35930 50302 71860 89825 100604 125755 143720 179650 201208 251510 359300 449125 503020 628775 718600 898250 1006040 1257550 1599583 1796500 2515100 3143875 3199166 3593000 5030200 6287750 6398332 7997915 11197081 12575500 12796664 15995830 22394162 25151000 31991660 39989575 44788324 55985405 63983320 79979150 89576648 111970810 159958300 199947875 223941620 279927025 319916600 399895750 447883240 559854050 799791500 1119708100 1399635125 1599583000 2239416200 2799270250 5598540500 5747301719 11197081000 11494603438 22989206876 28736508595 40231112033 45978413752 57473017190 80462224066 114946034380 143682542975 160924448132 201155560165 229892068760 287365085950 321848896264 402311120330 574730171900 718412714875 804622240660 1005777800825 1149460343800 1436825429750 1609244481320 2011555601650 2873650859500 4023111203300 5028889004125 5747301719000 8046222406600 10057778008250 20115556016500 40231112033000