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10145232450141 = 31922910112012663
BaseRepresentation
bin1001001110100001111011…
…1110011111001001011101
31022220212121200201010210020
42103220132332133021131
52312204414001401031
633324353324302353
72064653213660265
oct223503676371135
938825550633706
1010145232450141
113261629261418
12117a2699a19b9
135878caa85659
1427106364a7a5
15128d7a1d5096
hex93a1ef9f25d

10145232450141 has 96 divisors (see below), whose sum is σ = 14932931800320. Its totient is φ = 6117914880000.

The previous prime is 10145232450131. The next prime is 10145232450253. The reversal of 10145232450141 is 14105423254101.

It is not a de Polignac number, because 10145232450141 - 26 = 10145232450077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145232450121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3809699176 + ... + 3809701838.

It is an arithmetic number, because the mean of its divisors is an integer number (155551372920).

Almost surely, 210145232450141 is an apocalyptic number.

It is an amenable number.

10145232450141 is a deficient number, since it is larger than the sum of its proper divisors (4787699350179).

10145232450141 is a wasteful number, since it uses less digits than its factorization.

10145232450141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 10145232450141 in words is "ten trillion, one hundred forty-five billion, two hundred thirty-two million, four hundred fifty thousand, one hundred forty-one".

Divisors: 1 3 19 29 57 87 101 303 361 551 1083 1201 1653 1919 2663 2929 3603 5757 7989 8787 10469 22819 31407 34829 36461 50597 55651 68457 77227 104487 109383 121301 151791 166953 231681 268963 363903 433561 661751 806889 961343 1057369 1300683 1467313 1985253 2304719 2884029 3172107 3198263 3517729 4401939 5110297 6914157 7799927 9594789 10553187 12573269 15330891 23399781 27878947 37719807 43789661 60766997 66836851 83636841 92749627 97095643 131368983 148198613 182300991 200510553 278248881 291286929 323024563 444595839 969073689 1154572943 1269900169 1762242913 2815773647 3463718829 3809700507 5286728739 6137466697 8447320941 9367712327 18412400091 28103136981 33482615347 100447846041 116611867243 177986534213 349835601729 533959602639 3381744150047 10145232450141