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41022140213000 = 2353277161391813
BaseRepresentation
bin10010101001111001101100…
…00110000110011100001000
312101020200022111001210100102
421110330312012012130020
520334101320343304000
6223125151104224532
711432515606356512
oct1124746606063410
9171220274053312
1041022140213000
1112086434783761
12472644790b148
1319b74a976854b
14a1b6a7160bb2
154b213005b3d5
hex254f36186708

41022140213000 has 128 divisors (see below), whose sum is σ = 96399125053920. Its totient is φ = 16339304217600.

The previous prime is 41022140212987. The next prime is 41022140213003. The reversal of 41022140213000 is 31204122014.

It can be written as a sum of positive squares in 16 ways, for example, as 136372149796 + 40885768063204 = 369286^2 + 6394198^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41022140213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446755094 + ... + 446846906.

Almost surely, 241022140213000 is an apocalyptic number.

41022140213000 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 41022140213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48199562526960).

41022140213000 is an abundant number, since it is smaller than the sum of its proper divisors (55376984840920).

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

41022140213000 is a wasteful number, since it uses less digits than its factorization.

41022140213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93724 (or 93710 counting only the distinct ones).

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

Adding to 41022140213000 its reverse (31204122014), we get a palindrome (41053344335014).

The spelling of 41022140213000 in words is "forty-one trillion, twenty-two billion, one hundred forty million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1385 1613 2216 2770 3226 5540 6452 6925 8065 11080 12904 13850 16130 27700 32260 34625 40325 55400 64520 69250 80650 91813 138500 161300 183626 201625 277000 322600 367252 403250 446801 459065 734504 806500 893602 918130 1613000 1787204 1836260 2234005 2295325 3574408 3672520 4468010 4590650 8936020 9181300 11170025 11476625 17872040 18362600 22340050 22953250 25432201 44680100 45906500 50864402 55850125 89360200 91813000 101728804 111700250 127161005 148094369 203457608 223400500 254322010 296188738 446801000 508644020 592377476 635805025 740471845 1017288040 1184754952 1271610050 1480943690 2543220100 2961887380 3179025125 3702359225 5086440200 5923774760 6358050250 7404718450 12716100500 14809436900 18511796125 25432201000 29618873800 37023592250 41022140213 74047184500 82044280426 148094369000 164088560852 205110701065 328177121704 410221402130 820442804260 1025553505325 1640885608520 2051107010650 4102214021300 5127767526625 8204428042600 10255535053250 20511070106500 41022140213000