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31442233331304 = 23321014323739457
BaseRepresentation
bin1110010011000101101110…
…01001100000111001101000
311010022211220022011002001200
413021202313021200321220
513110122143213100204
6150512210152444200
76423424565421105
oct711426711407150
9133284808132050
1031442233331304
11a022638022234
1236398703a9660
131470cb39ca393
147a9b529d9aac
15397d40a23539
hex1c98b7260e68

31442233331304 has 48 divisors (see below), whose sum is σ = 85999177819620. Its totient is φ = 10376974694400.

The previous prime is 31442233331303. The next prime is 31442233331387. The reversal of 31442233331304 is 40313333224413.

31442233331304 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 2 + 333 + 313 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27310762440900 + 4131470890404 = 5225970^2 + 2032602^2 .

It is a super-2 number, since 2×314422333313042 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31442233331303) 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, 2161862457 + ... + 2161877000.

Almost surely, 231442233331304 is an apocalyptic number.

It is an amenable number.

31442233331304 is an abundant number, since it is smaller than the sum of its proper divisors (54556944488316).

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

31442233331304 is a wasteful number, since it uses less digits than its factorization.

31442233331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323739570 (or 4323739563 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 31442233331304 its reverse (40313333224413), we get a palindrome (71755566555717).

The spelling of 31442233331304 in words is "thirty-one trillion, four hundred forty-two billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 4323739457 8647478914 12971218371 17294957828 25942436742 34589915656 38913655113 51884873484 77827310226 103769746968 155654620452 311309240904 436697685157 873395370314 1310093055471 1746790740628 2620186110942 3493581481256 3930279166413 5240372221884 7860558332826 10480744443768 15721116665652 31442233331304