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150324410040 = 23357433741263
BaseRepresentation
bin1000110000000000001…
…0000111011010111000
3112101000100220020210020
42030000002013122320
54430331022110130
6153020313450440
713601115255060
oct2140002073270
9471010806706
10150324410040
1158830235222
1225173410a20
1311238845a6c
1473c08ba3a0
153d9c310e10
hex23000876b8

150324410040 has 128 divisors (see below), whose sum is σ = 515529308160. Its totient is φ = 34351110144.

The previous prime is 150324410029. The next prime is 150324410057. The reversal of 150324410040 is 40014423051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622449 + ... + 3663711.

It is an arithmetic number, because the mean of its divisors is an integer number (4027572720).

Almost surely, 2150324410040 is an apocalyptic number.

150324410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150324410040 is an abundant number, since it is smaller than the sum of its proper divisors (365204898120).

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

150324410040 is a wasteful number, since it uses less digits than its factorization.

150324410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45621 (or 45617 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 150324410040 its reverse (40014423051), we get a palindrome (190338833091).

The spelling of 150324410040 in words is "one hundred fifty billion, three hundred twenty-four million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4337 8674 13011 17348 21685 26022 30359 34696 41263 43370 52044 60718 65055 82526 86740 91077 104088 121436 123789 130110 151795 165052 173480 182154 206315 242872 247578 260220 288841 303590 330104 364308 412630 455385 495156 520440 577682 607180 618945 728616 825260 866523 910770 990312 1155364 1214360 1237890 1444205 1650520 1733046 1821540 2310728 2475780 2888410 3466092 3643080 4332615 4951560 5776820 6932184 8665230 11553640 17330460 34660920 178957631 357915262 536872893 715830524 894788155 1073745786 1252703417 1431661048 1789576310 2147491572 2505406834 2684364465 3579152620 3758110251 4294983144 5010813668 5368728930 6263517085 7158305240 7516220502 10021627336 10737457860 12527034170 15032441004 18790551255 21474915720 25054068340 30064882008 37581102510 50108136680 75162205020 150324410040