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4463141540025 = 352722380965269
BaseRepresentation
bin100000011110010011111…
…1101110101000010111001
3120210200011000012122102110
41000330213331311002321
51041111003213240100
613254201112322533
7640310544100500
oct100744775650271
916720130178373
104463141540025
1114708980555a3
12600ba10a3449
13264b459a477c
141160352c3837
157b16ad08250
hex40f27f750b9

4463141540025 has 144 divisors (see below), whose sum is σ = 8968223318400. Its totient is φ = 1949142666240.

The previous prime is 4463141540009. The next prime is 4463141540047. The reversal of 4463141540025 is 5200451413644.

It is not a de Polignac number, because 4463141540025 - 24 = 4463141540009 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 68348091 + ... + 68413359.

It is an arithmetic number, because the mean of its divisors is an integer number (62279328600).

Almost surely, 24463141540025 is an apocalyptic number.

It is an amenable number.

4463141540025 is an abundant number, since it is smaller than the sum of its proper divisors (4505081778375).

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

4463141540025 is a wasteful number, since it uses less digits than its factorization.

4463141540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66128 (or 66116 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 4463141540025 its reverse (5200451413644), we get a palindrome (9663592953669).

The spelling of 4463141540025 in words is "four trillion, four hundred sixty-three billion, one hundred forty-one million, five hundred forty thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 49 69 75 105 115 147 161 175 245 345 483 525 575 735 805 809 1127 1225 1725 2415 2427 3381 3675 4025 4045 5635 5663 12075 12135 16905 16989 18607 20225 28175 28315 39641 55821 60675 65269 84525 84945 93035 118923 130249 141575 195807 198205 279105 326345 390747 424725 456883 465175 594615 651245 911743 979035 991025 1370649 1395525 1501187 1631725 1953735 2284415 2735229 2973075 3198181 3256225 4503561 4558715 4895175 6853245 7505935 9594543 9768675 10508309 11422075 13676145 15990905 22517805 22793575 31524927 34266225 37529675 47972715 52541545 52802621 68380725 73558163 79954525 112589025 157624635 158407863 220674489 239863575 262707725 264013105 367790815 369618347 788123175 792039315 1103372445 1108855041 1214460283 1320065525 1838954075 1848091735 2587328429 3643380849 3960196575 5516862225 5544275205 6072301415 7761985287 8501221981 9240458675 12936642145 18216904245 25503665943 27721376025 30361507075 38809926435 42506109905 59508553867 64683210725 91084521225 127518329715 178525661601 194049632175 212530549525 297542769335 637591648575 892628308005 1487713846675 4463141540025