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4415292925144 = 2373137254321701
BaseRepresentation
bin100000001000000001111…
…1101110110010011011000
3120122002122100121011100221
41000100003331312103120
51034320004442101034
613220205122405424
7633665034425533
oct100200375662330
916562570534327
104415292925144
111452573827a82
125b3868800874
1326048b8745ba
141139b65b7a1a
1579cba27abb4
hex40403f764d8

4415292925144 has 64 divisors (see below), whose sum is σ = 8457050643840. Its totient is φ = 2160561715200.

The previous prime is 4415292925123. The next prime is 4415292925151.

4415292925144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44152929251442 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4415292925091 and 4415292925100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203449494 + ... + 203471194.

It is an arithmetic number, because the mean of its divisors is an integer number (132141416310).

Almost surely, 24415292925144 is an apocalyptic number.

It is an amenable number.

4415292925144 is a deficient number, since it is larger than the sum of its proper divisors (4041757718696).

4415292925144 is a wasteful number, since it uses less digits than its factorization.

4415292925144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24460 (or 24456 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 4415292925144 in words is "four trillion, four hundred fifteen billion, two hundred ninety-two million, nine hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 73 137 146 274 292 548 584 1096 2543 5086 10001 10172 20002 20344 21701 40004 43402 80008 86804 173608 185639 348391 371278 696782 742556 1393564 1485112 1584173 2787128 2973037 3168346 5946074 6336692 11892148 12673384 23784296 25432543 50865086 55185643 101730172 110371286 203460344 217031701 220742572 434063402 441485144 868126804 1736253608 4028551939 7560433091 8057103878 15120866182 16114207756 30241732364 32228415512 60483464728 551911615643 1103823231286 2207646462572 4415292925144