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4025235156444 = 2233379144767961
BaseRepresentation
bin111010100100110010101…
…101100010110111011100
3112020210211120002110202000
4322210302231202313130
51011422140200001234
612321100103002300
7563546036204565
oct72446255426734
915223746073660
104025235156444
111312102343167
1255014b139390
13232768c78278
14dcb72a1b16c
156ea8b62d899
hex3a932b62ddc

4025235156444 has 96 divisors (see below), whose sum is σ = 10470715046400. Its totient is φ = 1337260337280.

The previous prime is 4025235156443. The next prime is 4025235156469. The reversal of 4025235156444 is 4446515325204.

It is a happy number.

4025235156444 is a `hidden beast` number, since 4 + 0 + 2 + 52 + 3 + 5 + 156 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4025235156444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025235156443) 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, 59194624 + ... + 59262584.

It is an arithmetic number, because the mean of its divisors is an integer number (109069948400).

Almost surely, 24025235156444 is an apocalyptic number.

It is an amenable number.

4025235156444 is an abundant number, since it is smaller than the sum of its proper divisors (6445479889956).

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

4025235156444 is a wasteful number, since it uses less digits than its factorization.

4025235156444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69800 (or 69792 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 4025235156444 in words is "four trillion, twenty-five billion, two hundred thirty-five million, one hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 379 758 1137 1447 1516 2274 2894 3411 4341 4548 5788 6822 8682 10233 13023 13644 17364 20466 26046 39069 40932 52092 67961 78138 135922 156276 203883 271844 407766 548413 611649 815532 1096826 1223298 1645239 1834947 2193652 2446596 3290478 3669894 4935717 6580956 7339788 9871434 14807151 19742868 25757219 29614302 51514438 59228604 77271657 98339567 103028876 154543314 196679134 231814971 295018701 309086628 393358268 463629942 590037402 695444913 885056103 927259884 1180074804 1390889826 1770112206 2655168309 2781779652 3540224412 5310336618 10620673236 37270695893 74541391786 111812087679 149082783572 223624175358 335436263037 447248350716 670872526074 1006308789111 1341745052148 2012617578222 4025235156444