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40233414000 = 2435313515813
BaseRepresentation
bin100101011110000110…
…010010110101110000
310211211221021012022110
4211132012102311300
51124344223222000
630252153405320
72623010243043
oct453606226560
9124757235273
1040233414000
111607679347a
12796a109840
133a42538760
141d395aac5a
1510a7241850
hex95e192d70

40233414000 has 160 divisors (see below), whose sum is σ = 139690684224. Its totient is φ = 9903590400.

The previous prime is 40233413971. The next prime is 40233414061. The reversal of 40233414000 is 41433204.

It is a congruent number.

It is an unprimeable number.

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, 179907 + ... + 335906.

Almost surely, 240233414000 is an apocalyptic number.

40233414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40233414000 is an abundant number, since it is smaller than the sum of its proper divisors (99457270224).

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

40233414000 is a wasteful number, since it uses less digits than its factorization.

40233414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515852 (or 515836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40233414000 its reverse (41433204), we get a palindrome (40274847204).

The spelling of 40233414000 in words is "forty billion, two hundred thirty-three million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 515813 1031626 1547439 2063252 2579065 3094878 4126504 5158130 6189756 6705569 7737195 8253008 10316260 12379512 12895325 13411138 15474390 20116707 20632520 24759024 25790650 26822276 30948780 33527845 38685975 40233414 41265040 51581300 53644552 61897560 64476625 67055690 77371950 80466828 100583535 103162600 107289104 123795120 128953250 134111380 154743900 160933656 167639225 193429875 201167070 206325200 257906500 268222760 309487800 321867312 335278450 386859750 402334140 502917675 515813000 536445520 618975600 670556900 773719500 804668280 838196125 1005835350 1031626000 1341113800 1547439000 1609336560 1676392250 2011670700 2514588375 2682227600 3094878000 3352784500 4023341400 5029176750 6705569000 8046682800 10058353500 13411138000 20116707000 40233414000