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40231402211000 = 235371113160924979
BaseRepresentation
bin10010010010111000110100…
…11100000000011010111000
312021110002021121000022001202
421021130122130000122320
520233122402431223000
6221322015004433332
711321423436301220
oct1111343234003270
9167402247008052
1040231402211000
1111901050799170
124619147248848
13195aa60622980
149d12d2d31080
1549b79ee49dd5
hex24971a7006b8

40231402211000 has 512 divisors, whose sum is σ = 126483372288000. Its totient is φ = 11567411712000.

The previous prime is 40231402210997. The next prime is 40231402211023. The reversal of 40231402211000 is 11220413204.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1610596511 + ... + 1610621489.

It is an arithmetic number, because the mean of its divisors is an integer number (247037836500).

Almost surely, 240231402211000 is an apocalyptic number.

40231402211000 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 40231402211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63241686144000).

40231402211000 is an abundant number, since it is smaller than the sum of its proper divisors (86251970077000).

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

40231402211000 is a wasteful number, since it uses less digits than its factorization.

40231402211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640 (or 26626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40231402211000 its reverse (11220413204), we get a palindrome (40242622624204).

The spelling of 40231402211000 in words is "forty trillion, two hundred thirty-one billion, four hundred two million, two hundred eleven thousand".