Search a number
-
+
31421022221040 = 2435130920925921
BaseRepresentation
bin1110010010011110001101…
…10111100011001011110000
311010020211011001201000212020
413021033012313203023300
513104300223142033130
6150454341321031440
76422044136103354
oct711170667431360
9133224131630766
1031421022221040
11a014642999141
123635730925580
13146bcb343b26a
147a8add931464
153974ed7c4e10
hex1c93c6de32f0

31421022221040 has 40 divisors (see below), whose sum is σ = 97405168885968. Its totient is φ = 8378939258880.

The previous prime is 31421022221021. The next prime is 31421022221047. The reversal of 31421022221040 is 4012222012413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31421022221040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421022221047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65460462721 + ... + 65460463200.

Almost surely, 231421022221040 is an apocalyptic number.

31421022221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31421022221040 is an abundant number, since it is smaller than the sum of its proper divisors (65984146664928).

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

31421022221040 is a wasteful number, since it uses less digits than its factorization.

31421022221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130920925937 (or 130920925931 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31421022221040 its reverse (4012222012413), we get a palindrome (35433244233453).

The spelling of 31421022221040 in words is "thirty-one trillion, four hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 130920925921 261841851842 392762777763 523683703684 654604629605 785525555526 1047367407368 1309209259210 1571051111052 1963813888815 2094734814736 2618418518420 3142102222104 3927627777630 5236837036840 6284204444208 7855255555260 10473674073680 15710511110520 31421022221040