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150433461334120 = 235199118011601447
BaseRepresentation
bin100010001101000110000101…
…000001100111000001101000
3201201122022001120110001120111
4202031012011001213001220
5124204200212100142440
61251540102244504104
743454313260252356
oct4215060501470150
9651568046401514
10150433461334120
1143a295221491a8
1214a570199ab034
1365c2a786bb433
1429210385dc7d6
15125d1bd7724ea
hex88d185067068

150433461334120 has 64 divisors (see below), whose sum is σ = 340205207328000. Its totient is φ = 59865894950400.

The previous prime is 150433461334081. The next prime is 150433461334171. The reversal of 150433461334120 is 21433164334051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93135237 + ... + 94736683.

It is an arithmetic number, because the mean of its divisors is an integer number (5315706364500).

Almost surely, 2150433461334120 is an apocalyptic number.

150433461334120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150433461334120 is an abundant number, since it is smaller than the sum of its proper divisors (189771745993880).

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

150433461334120 is a wasteful number, since it uses less digits than its factorization.

150433461334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613458 (or 1613454 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 150433461334120 in words is "one hundred fifty trillion, four hundred thirty-three billion, four hundred sixty-one million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1592 1990 3980 7960 11801 23602 47204 59005 94408 118010 236020 472040 1601447 2348399 3202894 4696798 6405788 8007235 9393596 11741995 12811576 16014470 18787192 23483990 32028940 46967980 64057880 93935960 318687953 637375906 1274751812 1593439765 2549503624 3186879530 6373759060 12747518120 18898676047 37797352094 75594704188 94493380235 151189408376 188986760470 377973520940 755947041880 3760836533353 7521673066706 15043346133412 18804182666765 30086692266824 37608365333530 75216730667060 150433461334120