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151320140440 = 23576110782799
BaseRepresentation
bin1000110011101101100…
…0100001101010011000
3112110120202112121002221
42030323120201222120
54434400423443230
6153303203433424
713634565654130
oct2147330415230
9473522477087
10151320140440
11591a1302207
12253b0985874
1311366c19751
147476c35ac0
153e0994c27a
hex233b621a98

151320140440 has 128 divisors (see below), whose sum is σ = 399188736000. Its totient is φ = 50553146880.

The previous prime is 151320140429. The next prime is 151320140441. The reversal of 151320140440 is 44041023151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151320140441) 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, 1786161 + ... + 1868959.

It is an arithmetic number, because the mean of its divisors is an integer number (3118662000).

Almost surely, 2151320140440 is an apocalyptic number.

151320140440 is a gapful number since it is divisible by the number (10) 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 151320140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199594368000).

151320140440 is an abundant number, since it is smaller than the sum of its proper divisors (247868595560).

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

151320140440 is a wasteful number, since it uses less digits than its factorization.

151320140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82985 (or 82981 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 151320140440 its reverse (44041023151), we get a palindrome (195361163591).

The spelling of 151320140440 in words is "one hundred fifty-one billion, three hundred twenty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 107 122 140 214 244 280 305 427 428 488 535 610 749 854 856 1070 1220 1498 1708 2135 2140 2440 2996 3416 3745 4270 4280 5992 6527 7490 8540 13054 14980 17080 26108 29960 32635 45689 52216 65270 82799 91378 130540 165598 182756 228445 261080 331196 365512 413995 456890 579593 662392 827990 913780 1159186 1655980 1827560 2318372 2897965 3311960 4636744 5050739 5795930 8859493 10101478 11591860 17718986 20202956 23183720 25253695 35355173 35437972 40405912 44297465 50507390 62016451 70710346 70875944 88594930 101014780 124032902 141420692 176775865 177189860 202029560 248065804 282841384 310082255 353551730 354379720 496131608 540429073 620164510 707103460 1080858146 1240329020 1414206920 2161716292 2480658040 2702145365 3783003511 4323432584 5404290730 7566007022 10808581460 15132014044 18915017555 21617162920 30264028088 37830035110 75660070220 151320140440