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40260222206204 = 2271113234337100801
BaseRepresentation
bin10010010011101110100000…
…01111100100000011111100
312021112211200002220202011112
421021313100033210003330
520234110413341044304
6221343142445141152
711323463560230650
oct1111672017440374
9167484602822145
1040260222206204
111191229a943120
12462284ab5a7b8
1319606a43a4780
149d2868772a60
1549c3da187b6e
hex249dd03e40fc

40260222206204 has 192 divisors, whose sum is σ = 98734117128192. Its totient is φ = 13846339584000.

The previous prime is 40260222206203. The next prime is 40260222206263.

40260222206204 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40260222206203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399352604 + ... + 399453404.

It is an arithmetic number, because the mean of its divisors is an integer number (514240193376).

Almost surely, 240260222206204 is an apocalyptic number.

40260222206204 is a gapful number since it is divisible by the number (44) 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 40260222206204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49367058564096).

40260222206204 is an abundant number, since it is smaller than the sum of its proper divisors (58473894921988).

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

40260222206204 is a wasteful number, since it uses less digits than its factorization.

40260222206204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105196 (or 105194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 40260222206204 in words is "forty trillion, two hundred sixty billion, two hundred twenty-two million, two hundred six thousand, two hundred four".