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1402240000122 = 23213409142910253
BaseRepresentation
bin10100011001111100000…
…001000110000001111010
311222001102111221120222100
4110121330001012001322
5140433241420000442
62552102525404230
7203210546224443
oct24317401060172
94861374846870
101402240000122
114a0760a18565
121a791b409676
13a22cca02130
144bc23cda2ca
152671eb2d84c
hex1467c04607a

1402240000122 has 96 divisors (see below), whose sum is σ = 3282508429200. Its totient is φ = 430060409856.

The previous prime is 1402240000103. The next prime is 1402240000127. The reversal of 1402240000122 is 2210000422041.

1402240000122 is a `hidden beast` number, since 1 + 402 + 240 + 0 + 0 + 0 + 1 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169693739721 + 1232546260401 = 411939^2 + 1110201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1402240000095 and 1402240000104.

It is not an unprimeable number, because it can be changed into a prime (1402240000127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136758748 + ... + 136769000.

Almost surely, 21402240000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402240000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641254214600).

1402240000122 is an abundant number, since it is smaller than the sum of its proper divisors (1880268429078).

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

1402240000122 is a wasteful number, since it uses less digits than its factorization.

1402240000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1402240000122 its reverse (2210000422041), we get a palindrome (3612240422163).

The spelling of 1402240000122 in words is "one trillion, four hundred two billion, two hundred forty million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 409 818 1227 1429 2454 2858 3681 4287 5317 7362 8574 10253 10634 12861 15951 18577 20506 25722 30759 31902 37154 47853 55731 61518 92277 95706 111462 133289 167193 184554 266578 334386 399867 584461 799734 1168922 1199601 1753383 2399202 3506766 4193477 5260149 7597993 8386954 10520298 12580431 14651537 15195986 22793979 25160862 29303074 37741293 43954611 45587958 54515201 68381937 75482586 87909222 109030402 131863833 136763874 163545603 190469981 263727666 327091206 380939962 490636809 571409943 981273618 1142819886 1714229829 3428459658 5992478633 11984957266 17977435899 35954871798 53932307697 77902222229 107864615394 155804444458 233706666687 467413333374 701120000061 1402240000122