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31421323332144 = 24321033211232947
BaseRepresentation
bin1110010010011110110001…
…10100001100101000110000
311010020211221001022001122100
413021033120310030220300
513104301332233112034
6150454431234540400
76422054453361324
oct711173064145060
9133224831261570
1031421323332144
11a014787961399
1236357b5737700
13146c030937a05
147a8b2b913984
15397519e53099
hex1c93d8d0ca30

31421323332144 has 60 divisors (see below), whose sum is σ = 88021191897496. Its totient is φ = 10463635213056.

The previous prime is 31421323332143. The next prime is 31421323332149. The reversal of 31421323332144 is 44123332312413.

31421323332144 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 323 + 3 + 321 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31421323332099 and 31421323332108.

It is not an unprimeable number, because it can be changed into a prime (31421323332143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105467722 + ... + 105765225.

Almost surely, 231421323332144 is an apocalyptic number.

It is an amenable number.

31421323332144 is an abundant number, since it is smaller than the sum of its proper divisors (56599868565352).

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

31421323332144 is a wasteful number, since it uses less digits than its factorization.

31421323332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211233994 (or 211233985 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 31421323332144 its reverse (44123332312413), we get a palindrome (75544655644557).

The spelling of 31421323332144 in words is "thirty-one trillion, four hundred twenty-one billion, three hundred twenty-three million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1033 2066 3099 4132 6198 8264 9297 12396 16528 18594 24792 37188 49584 74376 148752 211232947 422465894 633698841 844931788 1267397682 1689863576 1901096523 2534795364 3379727152 3802193046 5069590728 7604386092 10139181456 15208772184 30417544368 218203634251 436407268502 654610902753 872814537004 1309221805506 1745629074008 1963832708259 2618443611012 3491258148016 3927665416518 5236887222024 7855330833036 10473774444048 15710661666072 31421323332144