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40302141012 = 22327831979781
BaseRepresentation
bin100101100010001100…
…011101111001010100
310212000201120220001100
4211202030131321110
51130014322003022
630303050430100
72624503355250
oct454214357124
9125021526040
1040302141012
1116101565061
127989132330
133a5384ca23
141d4477b260
1510ad2ba1ac
hex96231de54

40302141012 has 144 divisors (see below), whose sum is σ = 118441395072. Its totient is φ = 11317259520.

The previous prime is 40302141007. The next prime is 40302141013. The reversal of 40302141012 is 21014120304.

It is a super-2 number, since 2×403021410122 (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 (40302141013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4115562 + ... + 4125342.

It is an arithmetic number, because the mean of its divisors is an integer number (822509688).

Almost surely, 240302141012 is an apocalyptic number.

40302141012 is a gapful number since it is divisible by the number (42) 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 40302141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59220697536).

40302141012 is an abundant number, since it is smaller than the sum of its proper divisors (78139254060).

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

40302141012 is a wasteful number, since it uses less digits than its factorization.

40302141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40302141012 its reverse (21014120304), we get a palindrome (61316261316).

The spelling of 40302141012 in words is "forty billion, three hundred two million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 197 249 252 332 394 498 581 591 747 788 996 1162 1182 1379 1494 1743 1773 2324 2364 2758 2988 3486 3546 4137 5229 5516 6972 7092 8274 9781 10458 12411 16351 16548 19562 20916 24822 29343 32702 39124 49053 49644 58686 65404 68467 88029 98106 114457 117372 136934 147159 176058 196212 205401 228914 273868 294318 343371 352116 410802 457828 588636 616203 686742 811823 821604 1030113 1232406 1373484 1623646 1926857 2060226 2435469 2464812 3247292 3853714 4120452 4870938 5682761 5780571 7306407 7707428 9741876 11365522 11561142 13487999 14612814 17048283 17341713 22731044 23122284 26975998 29225628 34096566 34683426 40463997 51144849 53951996 68193132 69366852 80927994 102289698 121391991 159929131 161855988 204579396 242783982 319858262 479787393 485567964 639716524 959574786 1119503917 1439362179 1919149572 2239007834 2878724358 3358511751 4478015668 5757448716 6717023502 10075535253 13434047004 20151070506 40302141012