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40140321300 = 223252154928793
BaseRepresentation
bin100101011000100011…
…001011001000010100
310211121110002121010200
4211120203023020110
51124201410240200
630235030220500
72620500046542
oct453043131024
9124543077120
1040140321300
111602918a562
127942ab4730
133a29172c11
141d2b096d92
15109dea3800
hex9588cb214

40140321300 has 108 divisors (see below), whose sum is σ = 125903204700. Its totient is φ = 10696803840.

The previous prime is 40140321289. The next prime is 40140321301. The reversal of 40140321300 is 312304104.

40140321300 is a `hidden beast` number, since 4 + 0 + 1 + 40 + 321 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4530366864 + 35609954436 = 67308^2 + 188706^2 .

It is a super-2 number, since 2×401403213002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140321301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1379704 + ... + 1408496.

Almost surely, 240140321300 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 40140321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62951602350).

40140321300 is an abundant number, since it is smaller than the sum of its proper divisors (85762883400).

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

40140321300 is a wasteful number, since it uses less digits than its factorization.

40140321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362 (or 30352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40140321300 its reverse (312304104), we get a palindrome (40452625404).

The spelling of 40140321300 in words is "forty billion, one hundred forty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1549 3098 4647 6196 7745 9294 13941 15490 18588 23235 27882 28793 30980 38725 46470 55764 57586 69705 77450 86379 92940 115172 116175 139410 143965 154900 172758 232350 259137 278820 287930 345516 348525 431895 464700 518274 575860 697050 719825 863790 1036548 1295685 1394100 1439650 1727580 2159475 2591370 2879300 4318950 5182740 6478425 8637900 12956850 25913700 44600357 89200714 133801071 178401428 223001785 267602142 401403213 446003570 535204284 669005355 802806426 892007140 1115008925 1338010710 1605612852 2007016065 2230017850 2676021420 3345026775 4014032130 4460035700 6690053550 8028064260 10035080325 13380107100 20070160650 40140321300