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150234882477156 = 22321721201672
BaseRepresentation
bin100010001010001101001000…
…110011011000110001100100
3201200221022111021021220211100
4202022031020303120301210
5124142422014403232111
61251304541402440100
743434053303650461
oct4212151063306144
9650838437256740
10150234882477156
114396228a5a7884
1214a2463a203030
1365aa11c9414c9
14291559b174668
151257e49e6c756
hex88a348cd8c64

150234882477156 has 81 divisors (see below), whose sum is σ = 403416651228409. Its totient is φ = 47132119924608.

The previous prime is 150234882477091. The next prime is 150234882477257. The reversal of 150234882477156 is 651774288432051.

The square root of 150234882477156 is 12257034.

It is a perfect power (a square), and thus also a powerful number.

150234882477156 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 3 + 4 + 8 + 8 + 2 + 477 + 156 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116964873900900 + 33270008576256 = 10815030^2 + 5768016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150234882477093 and 150234882477102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1250157385 + ... + 1250277551.

Almost surely, 2150234882477156 is an apocalyptic number.

150234882477156 is the 12257034-th square number.

It is an amenable number.

150234882477156 is an abundant number, since it is smaller than the sum of its proper divisors (253181768751253).

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

150234882477156 is an frugal number, since it uses more digits than its factorization.

150234882477156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240378 (or 120189 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 150234882477156 in words is "one hundred fifty trillion, two hundred thirty-four billion, eight hundred eighty-two million, four hundred seventy-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 120167 240334 360501 480668 721002 1081503 1442004 2042839 2163006 4085678 4326012 6128517 8171356 12257034 18385551 24514068 34728263 36771102 69456526 73542204 104184789 138913052 208369578 312554367 416739156 625108734 1250217468 14440107889 28880215778 43320323667 57760431556 86640647334 129960971001 173281294668 245481834113 259921942002 490963668226 519843884004 736445502339 981927336452 1472891004678 2209336507017 2945782009356 4173191179921 4418673014034 8346382359842 8837346028068 12519573539763 16692764719684 25039147079526 37558720619289 50078294159052 75117441238578 150234882477156