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144768080685648 = 24375081632313411
BaseRepresentation
bin100000111010101001110010…
…000001100010101001010000
3200222120200201110020210211010
4200322221302001202221100
5122433340012123420043
61231521312123450520
742331101665303550
oct4072516201425120
9628520643223733
10144768080685648
11421448864a6272
12142a1035386a40
1362a1757586834
1427a6b53693160
1511b0b3b3d9133
hex83aa72062a50

144768080685648 has 160 divisors (see below), whose sum is σ = 427594134223872. Its totient is φ = 41344544793600.

The previous prime is 144768080685643. The next prime is 144768080685653. The reversal of 144768080685648 is 846586080867441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144768080685643) and next prime (144768080685653).

It is a self number, because there is not a number n which added to its sum of digits gives 144768080685648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144768080685643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10794720063 + ... + 10794733473.

Almost surely, 2144768080685648 is an apocalyptic number.

It is an amenable number.

144768080685648 is an abundant number, since it is smaller than the sum of its proper divisors (282826053538224).

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

144768080685648 is a wasteful number, since it uses less digits than its factorization.

144768080685648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24833 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 75.

The spelling of 144768080685648 in words is "one hundred forty-four trillion, seven hundred sixty-eight billion, eighty million, six hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5081 6323 10162 12646 13411 15243 18969 20324 25292 26822 30486 35567 37938 40233 40648 44261 50584 53644 60972 71134 75876 80466 81296 88522 93877 101168 106701 107288 121944 132783 142268 151752 160932 177044 187754 213402 214576 243888 265566 281631 284536 303504 321864 354088 375508 426804 531132 563262 569072 643728 708176 751016 853608 1062264 1126524 1502032 1707216 2124528 2253048 4506096 32127163 64254326 68141291 84797753 96381489 128508652 136282582 169595506 192762978 204423873 224890141 254393259 257017304 272565164 339191012 385525956 408847746 449780282 476989037 508786518 514034608 545130328 593584271 674670423 678382024 771051912 817695492 899560564 953978074 1017573036 1090260656 1187168542 1349340846 1356764048 1430967111 1542103824 1635390984 1780752813 1799121128 1907956148 2035146072 2374337084 2698681692 2861934222 3270781968 3561505626 3598242256 3815912296 4070292144 4748674168 5397363384 5723868444 7123011252 7631824592 9497348336 10794726768 11447736888 14246022504 22895473776 28492045008 430857382993 861714765986 1292572148979 1723429531972 2585144297958 3016001680951 3446859063944 5170288595916 6032003361902 6893718127888 9048005042853 10340577191832 12064006723804 18096010085706 20681154383664 24128013447608 36192020171412 48256026895216 72384040342824 144768080685648