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474340154000 = 24531750927409
BaseRepresentation
bin1101110011100001110…
…00000101101010010000
31200100100120200110212212
412321300320011222100
530232422034412000
61001524151411252
746161406532606
oct6716070055220
91610316613785
10474340154000
111731917183a9
1277b1b683b28
1335964cc3b4b
1418d5b395876
15c513070c35
hex6e70e05a90

474340154000 has 160 divisors (see below), whose sum is σ = 1216852696800. Its totient is φ = 178217779200.

The previous prime is 474340153999. The next prime is 474340154003. The reversal of 474340154000 is 451043474.

It can be written as a sum of positive squares in 16 ways, for example, as 325232965264 + 149107188736 = 570292^2 + 386144^2 .

It is not an unprimeable number, because it can be changed into a prime (474340154003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17292296 + ... + 17319704.

It is an arithmetic number, because the mean of its divisors is an integer number (7605329355).

Almost surely, 2474340154000 is an apocalyptic number.

474340154000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474340154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608426348400).

474340154000 is an abundant number, since it is smaller than the sum of its proper divisors (742512542800).

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

474340154000 is a wasteful number, since it uses less digits than its factorization.

474340154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27958 (or 27942 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 474340154000 its reverse (451043474), we get a palindrome (474791197474).

The spelling of 474340154000 in words is "four hundred seventy-four billion, three hundred forty million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 509 680 850 1000 1018 1360 1700 2000 2036 2125 2545 3400 4072 4250 5090 6800 8144 8500 8653 10180 12725 17000 17306 20360 25450 27409 34000 34612 40720 43265 50900 54818 63625 69224 86530 101800 109636 127250 137045 138448 173060 203600 216325 219272 254500 274090 346120 432650 438544 465953 509000 548180 685225 692240 865300 931906 1018000 1081625 1096360 1370450 1730600 1863812 2163250 2192720 2329765 2740900 3426125 3461200 3727624 4326500 4659530 5481800 6852250 7455248 8653000 9319060 10963600 11648825 13704500 13951181 17306000 18638120 23297650 27409000 27902362 37276240 46595300 54818000 55804724 58244125 69755905 93190600 111609448 116488250 139511810 186381200 223218896 232976500 237170077 279023620 348779525 465953000 474340154 558047240 697559050 931906000 948680308 1116094480 1185850385 1395118100 1743897625 1897360616 2371700770 2790236200 3487795250 3794721232 4743401540 5580472400 5929251925 6975590500 9486803080 11858503850 13951181000 18973606160 23717007700 27902362000 29646259625 47434015400 59292519250 94868030800 118585038500 237170077000 474340154000