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151001656115244 = 223116471768086461
BaseRepresentation
bin100010010101010111010000…
…000100101100000000101100
3201210122121200001011120221020
4202111113100010230000230
5124243002342431141434
61253053111514534140
743543336543226634
oct4225272004540054
9653577601146836
10151001656115244
11441284962aa040
1214b29171137350
136634519c871ac
14294073a7a36c4
15126cd7627b849
hex8955d012c02c

151001656115244 has 48 divisors (see below), whose sum is σ = 384961929198336. Its totient is φ = 45687354126400.

The previous prime is 151001656115203. The next prime is 151001656115329. The reversal of 151001656115244 is 442511656100151.

It is a happy number.

151001656115244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1510016561152443 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151001656115196 and 151001656115205.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 883957827 + ... + 884128634.

It is an arithmetic number, because the mean of its divisors is an integer number (8020040191632).

Almost surely, 2151001656115244 is an apocalyptic number.

It is an amenable number.

151001656115244 is an abundant number, since it is smaller than the sum of its proper divisors (233960273083092).

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

151001656115244 is a wasteful number, since it uses less digits than its factorization.

151001656115244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768087126 (or 1768087124 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 151001656115244 in words is "one hundred fifty-one trillion, one billion, six hundred fifty-six million, one hundred fifteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 647 1294 1941 2588 3882 7117 7764 14234 21351 28468 42702 85404 1768086461 3536172922 5304259383 7072345844 10608518766 19448951071 21217037532 38897902142 58346853213 77795804284 116693706426 233387412852 1143951940267 2287903880534 3431855820801 4575807761068 6863711641602 12583471342937 13727423283204 25166942685874 37750414028811 50333885371748 75500828057622 151001656115244