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404240152030144 = 26127229732164901
BaseRepresentation
bin101101111101001110111111…
…0101010100110101111000000
31222000021222111020100222012221
41123322131332222212233000
5410441032312404431034
63551425210120300424
7151101246544340023
oct13372357652465700
91860258436328187
10404240152030144
11107892316335a51
1239408549011714
13144738b5077b71
1471b74834cd1ba
1531b0332575bb4
hex16fa77eaa6bc0

404240152030144 has 56 divisors (see below), whose sum is σ = 808515870156288. Its totient is φ = 200519757849600.

The previous prime is 404240152030081. The next prime is 404240152030157. The reversal of 404240152030144 is 441030251042404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185642094 + ... + 187806994.

It is an arithmetic number, because the mean of its divisors is an integer number (14437783395648).

Almost surely, 2404240152030144 is an apocalyptic number.

It is an amenable number.

404240152030144 is an abundant number, since it is smaller than the sum of its proper divisors (404275718126144).

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

404240152030144 is a wasteful number, since it uses less digits than its factorization.

404240152030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188013 (or 2188003 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 404240152030144 in words is "four hundred four trillion, two hundred forty billion, one hundred fifty-two million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 22973 45946 91892 183784 367568 735136 1470272 2164901 2917571 4329802 5835142 8659604 11670284 17319208 23340568 34638416 46681136 69276832 93362272 138553664 186724544 274942427 549884854 1099769708 2199539416 4399078832 8798157664 17596315328 49734270673 99468541346 198937082692 397874165384 795748330768 1591496661536 3182993323072 6316252375471 12632504750942 25265009501884 50530019003768 101060038007536 202120076015072 404240152030144