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10153444424244 = 22311373622133149
BaseRepresentation
bin1001001111000000100001…
…1100101011101000110100
31022221122210222222122111020
42103300020130223220310
52312323223233033434
633332232235341140
72065363550415612
oct223601034535064
938848728878436
1010153444424244
113265062750080
12117b97bbb17b0
135886091b6024
142716021326b2
151291ab102849
hex93c0872ba34

10153444424244 has 96 divisors (see below), whose sum is σ = 25919368675200. Its totient is φ = 3067966732800.

The previous prime is 10153444424239. The next prime is 10153444424267. The reversal of 10153444424244 is 44242444435101.

It is a junction number, because it is equal to n+sod(n) for n = 10153444424196 and 10153444424205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306280582 + ... + 306313730.

It is an arithmetic number, because the mean of its divisors is an integer number (269993423700).

Almost surely, 210153444424244 is an apocalyptic number.

It is an amenable number.

10153444424244 is an abundant number, since it is smaller than the sum of its proper divisors (15765924250956).

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

10153444424244 is a wasteful number, since it uses less digits than its factorization.

10153444424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39761 (or 39759 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

Adding to 10153444424244 its reverse (44242444435101), we get a palindrome (54395888859345).

The spelling of 10153444424244 in words is "ten trillion, one hundred fifty-three billion, four hundred forty-four million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 373 746 1119 1492 2238 4103 4476 6221 8206 12309 12442 16412 18663 24618 24884 33149 37326 49236 66298 68431 74652 99447 132596 136862 198894 205293 273724 364639 397788 410586 729278 821172 1093917 1458556 2187834 2320433 4375668 4640866 6961299 9281732 12364577 13922598 24729154 25524763 27845196 37093731 49458308 51049526 74187462 76574289 102099052 136010347 148374924 153148578 206219929 272020694 306297156 408031041 412439858 544041388 618659787 816062082 824879716 1237319574 1632124164 2268419219 2474639148 4536838438 6805257657 9073676876 13610515314 27221030628 76920033517 153840067034 230760100551 307680134068 461520201102 846120368687 923040402204 1692240737374 2538361106061 3384481474748 5076722212122 10153444424244