Search a number
-
+
144496895088 = 243713211156781
BaseRepresentation
bin1000011010010010101…
…1111010010001110000
3111210222020101211010010
42012210223322101300
54331412201120323
6150214141534520
713303524225420
oct2064453722160
9453866354103
10144496895088
115630a803a67
1224007874440
131081a41c470
146dca96a480
153b5a8e9c93
hex21a4afa470

144496895088 has 160 divisors (see below), whose sum is σ = 461606344192. Its totient is φ = 37928217600.

The previous prime is 144496895071. The next prime is 144496895089. The reversal of 144496895088 is 880598694441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144496895089) 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 31 ways as a sum of consecutive naturals, for example, 843258 + ... + 1000038.

Almost surely, 2144496895088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144496895088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230803172096).

144496895088 is an abundant number, since it is smaller than the sum of its proper divisors (317109449104).

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

144496895088 is a wasteful number, since it uses less digits than its factorization.

144496895088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157023 (or 157017 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 144496895088 in words is "one hundred forty-four billion, four hundred ninety-six million, eight hundred ninety-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 211 273 312 336 364 422 546 624 633 728 844 1092 1266 1456 1477 1688 2184 2532 2743 2954 3376 4368 4431 5064 5486 5908 8229 8862 10128 10972 11816 16458 17724 19201 21944 23632 32916 35448 38402 43888 57603 65832 70896 76804 115206 131664 153608 156781 230412 307216 313562 460824 470343 627124 921648 940686 1097467 1254248 1881372 2038153 2194934 2508496 3292401 3762744 4076306 4389868 6114459 6584802 7525488 8152612 8779736 12228918 13169604 14267071 16305224 17559472 24457836 26339208 28534142 32610448 33080791 42801213 48915672 52678416 57068284 66161582 85602426 97831344 99242373 114136568 132323164 171204852 198484746 228273136 231565537 264646328 342409704 396969492 430050283 463131074 529292656 684819408 694696611 793938984 860100566 926262148 1290150849 1389393222 1587877968 1720201132 1852524296 2580301698 2778786444 3010351981 3440402264 3705048592 5160603396 5557572888 6020703962 6880804528 9031055943 10321206792 11115145776 12041407924 18062111886 20642413584 24082815848 36124223772 48165631696 72248447544 144496895088