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144040020009976 = 231747199926774211
BaseRepresentation
bin100000110000000011101110…
…001110011110001111111000
3200220000002110122122101120001
4200300003232032132033320
5122334422430110304401
61230203023252442344
742224355654543136
oct4060035616361770
9626002418571501
10144040020009976
11419940361a8722
12141a3b073193b4
13624abb97764bc
14277d807726756
15119bc28ad2601
hex8300ee39e3f8

144040020009976 has 128 divisors (see below), whose sum is σ = 292370757120000. Its totient is φ = 66267638507520.

The previous prime is 144040020009937. The next prime is 144040020009979. The reversal of 144040020009976 is 679900020040441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040020009979) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34205654511 + ... + 34205658721.

It is an arithmetic number, because the mean of its divisors is an integer number (2284146540000).

Almost surely, 2144040020009976 is an apocalyptic number.

It is an amenable number.

144040020009976 is an abundant number, since it is smaller than the sum of its proper divisors (148330737110024).

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

144040020009976 is a wasteful number, since it uses less digits than its factorization.

144040020009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 144040020009976 in words is "one hundred forty-four trillion, forty billion, twenty million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 1999 2677 3196 3998 4211 5354 6392 7996 8422 10708 15992 16844 21416 33688 33983 45509 67966 71587 91018 93953 125819 135932 143174 182036 187906 197917 251638 271864 286348 364072 375812 395834 503276 572696 751624 791668 1006552 1583336 1597201 2138923 3194402 3364589 4277846 5351323 6388804 6729178 8417789 8555692 10702646 11272847 12777608 13458356 16835578 17111384 21405292 22545694 26916712 33671156 42810584 45091388 67342312 90182776 90972491 143102413 181944982 191638399 251512181 286204826 363889964 383276798 395636083 503024362 529823809 572409652 727779928 766553596 791272166 1006048724 1059647618 1144819304 1533107192 1582544332 2012097448 2119295236 3165088664 4238590472 4275707077 6725813411 8551414154 9007004753 13451626822 17102828308 18014009506 22534421153 26903253644 34205656616 36028019012 45068842306 53806507288 72056038024 90137684612 180275369224 383085159601 766170319202 1059117794191 1532340638404 2118235588382 3064681276808 4236471176764 8472942353528 18005002501247 36010005002494 72020010004988 144040020009976