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144650404015216 = 241114931787308051
BaseRepresentation
bin100000111000111100001011…
…111100101010110001110000
3200222011102222100211120022221
4200320330023330222301300
5122424423011411441331
61231351251144210424
742316434600150001
oct4070741374526160
9628142870746287
10144650404015216
11420a998a047030
1214282273769a14
1362936228223b8
1427a118cb2d1a8
1511aca503b2711
hex838f0bf2ac70

144650404015216 has 80 divisors (see below), whose sum is σ = 306115333757568. Its totient is φ = 65669162528000.

The previous prime is 144650404015121. The next prime is 144650404015223. The reversal of 144650404015216 is 612510404056441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469412391 + ... + 469720441.

Almost surely, 2144650404015216 is an apocalyptic number.

144650404015216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144650404015216 is an abundant number, since it is smaller than the sum of its proper divisors (161464929742352).

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

144650404015216 is a wasteful number, since it uses less digits than its factorization.

144650404015216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311350 (or 311344 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 144650404015216 in words is "one hundred forty-four trillion, six hundred fifty billion, four hundred four million, fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 1493 1787 2986 3574 5972 7148 11944 14296 16423 19657 23888 28592 32846 39314 65692 78628 131384 157256 262768 308051 314512 616102 1232204 2464408 2667991 3388561 4928816 5335982 6777122 10671964 13554244 21343928 27108488 29347901 42687856 54216976 58695802 117391604 234783208 459920143 469566416 550487137 919840286 1100974274 1839680572 2201948548 3679361144 4403897096 5059121573 6055358507 7358722288 8807794192 10118243146 12110717014 20236486292 24221434028 40472972584 48442868056 80945945168 96885736112 821877295541 1643754591082 3287509182164 6575018364328 9040650250951 13150036728656 18081300501902 36162601003804 72325202007608 144650404015216