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40023433100 = 22527463123491
BaseRepresentation
bin100101010001100101…
…010001111110001100
310211022022011001200002
4211101211101332030
51123431444324400
630215253023432
72614550365610
oct452145217614
9124268131602
1040023433100
1115a79203742
12790b924b78
133a0ab984c1
141d1974b340
151093ab4ed5
hex951951f8c

40023433100 has 72 divisors (see below), whose sum is σ = 99473299968. Its totient is φ = 13692571200.

The previous prime is 40023433067. The next prime is 40023433181. The reversal of 40023433100 is 133432004.

It is a super-2 number, since 2×400234331002 (a number of 22 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 262355 + ... + 385845.

Almost surely, 240023433100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40023433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49736649984).

40023433100 is an abundant number, since it is smaller than the sum of its proper divisors (59449866868).

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

40023433100 is a wasteful number, since it uses less digits than its factorization.

40023433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123975 (or 123968 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 40023433100 its reverse (133432004), we get a palindrome (40156865104).

It can be divided in two parts, 400234 and 33100, that added together give a palindrome (433334).

The spelling of 40023433100 in words is "forty billion, twenty-three million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 463 700 926 1852 2315 3241 4630 6482 9260 11575 12964 16205 23150 32410 46300 64820 81025 123491 162050 246982 324100 493964 617455 864437 1234910 1728874 2469820 3087275 3457748 4322185 6174550 8644370 12349100 17288740 21610925 43221850 57176333 86443700 114352666 228705332 285881665 400234331 571763330 800468662 1143526660 1429408325 1600937324 2001171655 2858816650 4002343310 5717633300 8004686620 10005858275 20011716550 40023433100