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41144240140 = 22517617127941
BaseRepresentation
bin100110010100011000…
…110100100000001100
310221012102010221212221
4212110120310200030
51133230411141030
630522411505124
72654410161613
oct462430644014
9127172127787
1041144240140
11164a393a653
127b831581a4
133b59152a33
141dc454487a
15110c1aae7a
hex99463480c

41144240140 has 96 divisors (see below), whose sum is σ = 94298214528. Its totient is φ = 15020544000.

The previous prime is 41144240107. The next prime is 41144240153. The reversal of 41144240140 is 4104244114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458570 + ... + 1486510.

It is an arithmetic number, because the mean of its divisors is an integer number (982273068).

Almost surely, 241144240140 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 41144240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47149107264).

41144240140 is an abundant number, since it is smaller than the sum of its proper divisors (53153974388).

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

41144240140 is a wasteful number, since it uses less digits than its factorization.

41144240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28099 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 41144240140 its reverse (4104244114), we get a palindrome (45248484254).

The spelling of 41144240140 in words is "forty-one billion, one hundred forty-four million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 61 68 71 85 122 142 170 244 284 305 340 355 610 710 1037 1207 1220 1420 2074 2414 4148 4331 4828 5185 6035 8662 10370 12070 17324 20740 21655 24140 27941 43310 55882 73627 86620 111764 139705 147254 279410 294508 368135 474997 558820 736270 949994 1472540 1704401 1899988 1983811 2374985 3408802 3967622 4749970 6817604 7935244 8522005 9499940 9919055 17044010 19838110 28974817 33724787 34088020 39676220 57949634 67449574 115899268 121012471 134899148 144874085 168623935 242024942 289748170 337247870 484049884 579496340 605062355 674495740 1210124710 2057212007 2420249420 4114424014 8228848028 10286060035 20572120070 41144240140