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150310540514120 = 23578343201149713
BaseRepresentation
bin100010001011010011100110…
…010111111001001101001000
3201201012112210000020102021112
4202023103212113321031020
5124200141441332422440
61251403413053025452
743442402213443640
oct4213234627711510
9651175700212245
10150310540514120
1143991384594858
1214a37233a85288
1365b42b935390c
1429190d73c1520
151259dc7168965
hex88b4e65f9348

150310540514120 has 128 divisors (see below), whose sum is σ = 391181266909440. Its totient is φ = 50912619724800.

The previous prime is 150310540514119. The next prime is 150310540514131. The reversal of 150310540514120 is 21415045013051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003916384 + ... + 1004066096.

It is an arithmetic number, because the mean of its divisors is an integer number (3056103647730).

Almost surely, 2150310540514120 is an apocalyptic number.

150310540514120 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 150310540514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195590633454720).

150310540514120 is an abundant number, since it is smaller than the sum of its proper divisors (240870726395320).

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

150310540514120 is a wasteful number, since it uses less digits than its factorization.

150310540514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193015 (or 193011 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 150310540514120 its reverse (21415045013051), we get a palindrome (171725585527171).

The spelling of 150310540514120 in words is "one hundred fifty trillion, three hundred ten billion, five hundred forty million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 43201 86402 149713 172804 216005 299426 302407 345608 432010 598852 604814 748565 864020 1047991 1197704 1209628 1497130 1512035 1728040 2095982 2419256 2994260 3024070 3585683 4191964 5239955 5988520 6048140 7171366 8383928 10479910 12096280 12426179 14342732 17928415 20959820 24852358 25099781 28685464 35856830 41919640 49704716 50199562 62130895 71713660 86983253 99409432 100399124 124261790 125498905 143427320 173966506 200798248 248523580 250997810 347933012 434916265 497047160 501995620 695866024 869832530 1003991240 1739665060 3479330120 6467751313 12935502626 25871005252 32338756565 45274259191 51742010504 64677513130 90548518382 129355026260 181097036764 226371295955 258710052520 362194073528 452742591910 536823358979 905485183820 1073646717958 1810970367640 2147293435916 2684116794895 3757763512853 4294586871832 5368233589790 7515527025706 10736467179580 15031054051412 18788817564265 21472934359160 30062108102824 37577635128530 75155270257060 150310540514120