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40140101300 = 22521359577907
BaseRepresentation
bin100101011000100010…
…010101011010110100
310211121102200102100112
4211120202111122310
51124201331220200
630235021402152
72620465142255
oct453042253264
9124542612315
1040140101300
111602904a242
127942a09358
133a290c6a40
141d2b03ab2c
15109de5d535
hex9588956b4

40140101300 has 144 divisors (see below), whose sum is σ = 95664918720. Its totient is φ = 14528471040.

The previous prime is 40140101257. The next prime is 40140101303. The reversal of 40140101300 is 310104104.

It is a happy number.

It is a super-2 number, since 2×401401013002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140101303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44255447 + ... + 44256353.

Almost surely, 240140101300 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 40140101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832459360).

40140101300 is an abundant number, since it is smaller than the sum of its proper divisors (55524817420).

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

40140101300 is a wasteful number, since it uses less digits than its factorization.

40140101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 40140101300 its reverse (310104104), we get a palindrome (40450205404).

The spelling of 40140101300 in words is "forty billion, one hundred forty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 577 590 650 767 907 1154 1180 1300 1475 1534 1814 2308 2885 2950 3068 3628 3835 4535 5770 5900 7501 7670 9070 11540 11791 14425 15002 15340 18140 19175 22675 23582 28850 30004 34043 37505 38350 45350 47164 53513 57700 58955 68086 75010 76700 90700 107026 117910 136172 150020 170215 187525 214052 235820 267565 294775 340430 375050 442559 523339 535130 589550 680860 695669 750100 851075 885118 1046678 1070260 1179100 1337825 1391338 1702150 1770236 2093356 2212795 2616695 2675650 2782676 3404300 3478345 4425590 5233390 5351300 6803407 6956690 8851180 10466780 11063975 13083475 13606814 13913380 17391725 22127950 26166950 27213628 30877001 34017035 34783450 44255900 52333900 61754002 68034070 69566900 123508004 136068140 154385005 170085175 308770010 340170350 401401013 617540020 680340700 771925025 802802026 1543850050 1605604052 2007005065 3087700100 4014010130 8028020260 10035025325 20070050650 40140101300