Search a number
-
+
31244142420 = 2233589650107
BaseRepresentation
bin11101000110010010…
…111100011101010100
32222122110100212221000
4131012102330131110
51002442000024140
622204154223300
72154154554141
oct350622743524
988573325830
1031244142420
111228355a707
12607b724b30
132c3c07374a
1417257893c8
15c2ce83a30
hex7464bc754

31244142420 has 96 divisors (see below), whose sum is σ = 98296329600. Its totient is φ = 8238143232.

The previous prime is 31244142403. The next prime is 31244142451. The reversal of 31244142420 is 2424144213.

31244142420 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 414 + 242 + 0 = 666.

It is a super-2 number, since 2×312441424202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276994 + ... + 373113.

It is an arithmetic number, because the mean of its divisors is an integer number (1023920100).

Almost surely, 231244142420 is an apocalyptic number.

31244142420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31244142420 is an abundant number, since it is smaller than the sum of its proper divisors (67052187180).

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

31244142420 is a wasteful number, since it uses less digits than its factorization.

31244142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650214 (or 650206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31244142420 its reverse (2424144213), we get a palindrome (33668286633).

The spelling of 31244142420 in words is "thirty-one billion, two hundred forty-four million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 48060 650107 1300214 1950321 2600428 3250535 3900642 5850963 6501070 7801284 9751605 11701926 13002140 17552889 19503210 23403852 29254815 35105778 39006420 57859523 58509630 70211556 87764445 115719046 117019260 173578569 175528890 231438092 289297615 347157138 351057780 520735707 578595230 694314276 867892845 1041471414 1157190460 1562207121 1735785690 2082942828 2603678535 3124414242 3471571380 5207357070 6248828484 7811035605 10414714140 15622071210 31244142420