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53450355520144 = 241179149239107951
BaseRepresentation
bin11000010011100111000010…
…11101000011001010010000
321000020210201011210101011101
430021303201131003022100
524001212312003121034
6305402430534354144
714154442431426652
oct1411634135031220
9230223634711141
1053450355520144
1116038194274810
125bb3053abb954
1323a946819a87b
14d2b0222da6d2
1562a57696b514
hex309ce1743290

53450355520144 has 160 divisors (see below), whose sum is σ = 115655454720000. Its totient is φ = 23727168192000.

The previous prime is 53450355520123. The next prime is 53450355520207. The reversal of 53450355520144 is 44102555305435.

It is a junction number, because it is equal to n+sod(n) for n = 53450355520094 and 53450355520103.

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, 495081369 + ... + 495189319.

It is an arithmetic number, because the mean of its divisors is an integer number (722846592000).

Almost surely, 253450355520144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53450355520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57827727360000).

53450355520144 is an abundant number, since it is smaller than the sum of its proper divisors (62205099199856).

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

53450355520144 is a wasteful number, since it uses less digits than its factorization.

53450355520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108437 (or 108431 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 46.

The spelling of 53450355520144 in words is "fifty-three trillion, four hundred fifty billion, three hundred fifty-five million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 149 158 176 239 298 316 478 596 632 869 956 1192 1264 1639 1738 1912 2384 2629 3278 3476 3824 5258 6556 6952 10516 11771 13112 13904 18881 21032 23542 26224 35611 37762 42064 47084 71222 75524 94168 107951 129481 142444 151048 188336 207691 215902 258962 284888 302096 391721 415382 431804 517924 569776 783442 830764 863608 1035848 1187461 1566884 1661528 1727216 2071696 2374922 2813269 3133768 3323056 4749844 5626538 6267536 8528129 9499688 11253076 16084699 17056258 18999376 22506152 25800289 30945959 32169398 34112516 45012304 51600578 61891918 64338796 68225032 93809419 103201156 123783836 128677592 136450064 176931689 187618838 206402312 247567672 257355184 283803179 353863378 375237676 412804624 495135344 567606358 707726756 750475352 1135212716 1270691221 1415453512 1500950704 2038222831 2270425432 2541382442 2830907024 3844243061 4076445662 4540850864 5082764884 7688486122 8152891324 10165529768 13977603431 15376972244 16305782648 20331059536 22420451141 27955206862 30753944488 32611565296 42286673671 44840902282 55910413724 61507888976 84573347342 89681804564 111820827448 169146694684 179363609128 223641654896 303695201819 338293389368 358727218256 607390403638 676586778736 1214780807276 2429561614552 3340647220009 4859123229104 6681294440018 13362588880036 26725177760072 53450355520144