Search a number
-
+
31400142420 = 22353137944543
BaseRepresentation
bin11101001111100110…
…000010011001010100
310000001022220111200210
4131033212002121110
51003301414024140
622231450005420
72161060543503
oct351746023124
9100038814623
1031400142420
111235361a829
126103a16870
132c6549363a
14173c39683a
15c3b9ead80
hex74f982654

31400142420 has 96 divisors (see below), whose sum is σ = 90998046720. Its totient is φ = 8081700480.

The previous prime is 31400142391. The next prime is 31400142437. The reversal of 31400142420 is 2424100413.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 682669 + ... + 727211.

It is an arithmetic number, because the mean of its divisors is an integer number (947896320).

Almost surely, 231400142420 is an apocalyptic number.

31400142420 is a gapful number since it is divisible by the number (30) 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 31400142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45499023360).

31400142420 is an abundant number, since it is smaller than the sum of its proper divisors (59597904300).

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

31400142420 is a wasteful number, since it uses less digits than its factorization.

31400142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44965 (or 44963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 31400142420 its reverse (2424100413), we get a palindrome (33824242833).

The spelling of 31400142420 in words is "thirty-one billion, four hundred million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 379 465 620 758 930 1137 1516 1860 1895 2274 3790 4548 5685 7580 11370 11749 22740 23498 35247 44543 46996 58745 70494 89086 117490 133629 140988 176235 178172 222715 234980 267258 352470 445430 534516 668145 704940 890860 1336290 1380833 2672580 2761666 4142499 5523332 6904165 8284998 13808330 16569996 16881797 20712495 27616660 33763594 41424990 50645391 67527188 82849980 84408985 101290782 168817970 202581564 253226955 337635940 506453910 523335707 1012907820 1046671414 1570007121 2093342828 2616678535 3140014242 5233357070 6280028484 7850035605 10466714140 15700071210 31400142420