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2144137133025 = 3252101373443571
BaseRepresentation
bin11111001100111000100…
…010000011101111100001
321120222101121021212022100
4133030320202003233201
5240112143101224100
64321000352001013
7310623500630466
oct37147042035741
97528347255270
102144137133025
11757361572228
122a766b230169
13127264290174
1475ac372b66d
153ab92011400
hex1f338883be1

2144137133025 has 144 divisors (see below), whose sum is σ = 3904413619392. Its totient is φ = 1124660160000.

The previous prime is 2144137133009. The next prime is 2144137133063. The reversal of 2144137133025 is 5203317314412.

2144137133025 is a `hidden beast` number, since 214 + 4 + 137 + 1 + 3 + 302 + 5 = 666.

It is not a de Polignac number, because 2144137133025 - 24 = 2144137133009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3755055990 + ... + 3755056560.

It is an arithmetic number, because the mean of its divisors is an integer number (27113983468).

Almost surely, 22144137133025 is an apocalyptic number.

2144137133025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144137133025 is a deficient number, since it is larger than the sum of its proper divisors (1760276486367).

2144137133025 is a wasteful number, since it uses less digits than its factorization.

2144137133025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2144137133025 in words is "two trillion, one hundred forty-four billion, one hundred thirty-seven million, one hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 303 373 443 505 571 909 1119 1329 1515 1713 1865 2215 2525 2855 3357 3987 4545 5139 5595 6645 7575 8565 9325 11075 14275 16785 19935 22725 25695 27975 33225 37673 42825 44743 57671 83925 99675 113019 128475 134229 165239 173013 188365 212983 223715 252953 288355 339057 402687 495717 519039 565095 638949 671145 758859 826195 865065 941825 1064915 1118575 1264765 1441775 1487151 1695285 1916847 2013435 2276577 2478585 2595195 2825475 3194745 3355725 3794295 4130975 4325325 5324575 6323825 7435755 8476425 9584235 10067175 11382885 12392925 12975975 15973725 16689139 18971475 21511283 25548253 37178775 47921175 50067417 56914425 64533849 76644759 83445695 94351469 107556415 127741265 150202251 193601547 229934277 250337085 283054407 322669245 383223795 417228475 471757345 537782075 638706325 751011255 849163221 968007735 1149671385 1251685425 1415272035 1613346225 1916118975 2358786725 3755056275 4245816105 4840038675 5748356925 7076360175 9529498369 21229080525 28588495107 47647491845 85765485321 142942475535 238237459225 428827426605 714712377675 2144137133025