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41000121400 = 23527149196549
BaseRepresentation
bin100110001011110011…
…000011010000111000
310220211100221222010211
4212023303003100320
51132432012341100
630500222520504
72651010165430
oct461363032070
9126740858124
1041000121400
111642a555057
127b42a36134
133b35332a84
141dad34b2c0
1510ee6de1ba
hex98bcc3438

41000121400 has 96 divisors (see below), whose sum is σ = 109674900000. Its totient is φ = 13962769920.

The previous prime is 41000121389. The next prime is 41000121443. The reversal of 41000121400 is 412100014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110326 + ... + 306874.

It is an arithmetic number, because the mean of its divisors is an integer number (1142446875).

Almost surely, 241000121400 is an apocalyptic number.

41000121400 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 41000121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54837450000).

41000121400 is an abundant number, since it is smaller than the sum of its proper divisors (68674778600).

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

41000121400 is a wasteful number, since it uses less digits than its factorization.

41000121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196721 (or 196712 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 41000121400 its reverse (412100014), we get a palindrome (41412221414).

The spelling of 41000121400 in words is "forty-one billion, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 149 175 200 280 298 350 596 700 745 1043 1192 1400 1490 2086 2980 3725 4172 5215 5960 7450 8344 10430 14900 20860 26075 29800 41720 52150 104300 196549 208600 393098 786196 982745 1375843 1572392 1965490 2751686 3930980 4913725 5503372 6879215 7861960 9827450 11006744 13758430 19654900 27516860 29285801 34396075 39309800 55033720 58571602 68792150 117143204 137584300 146429005 205000607 234286408 275168600 292858010 410001214 585716020 732145025 820002428 1025003035 1171432040 1464290050 1640004856 2050006070 2928580100 4100012140 5125015175 5857160200 8200024280 10250030350 20500060700 41000121400