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2144900447820 = 22325137911602837
BaseRepresentation
bin11111001101100110000…
…001110111111001001100
321121001100210121021100200
4133031212001313321030
5240120224003312240
64321204220253500
7310651426663164
oct37154601677114
97531323537320
102144900447820
117577134269a9
122a78429a1290
1312735646a220
1475b56c675a4
153abd903d930
hex1f366077e4c

2144900447820 has 144 divisors (see below), whose sum is σ = 7095367493760. Its totient is φ = 521292215808.

The previous prime is 2144900447813. The next prime is 2144900447867. The reversal of 2144900447820 is 287440094412.

2144900447820 is a `hidden beast` number, since 2 + 1 + 44 + 90 + 0 + 447 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 5616559 + ... + 5986278.

Almost surely, 22144900447820 is an apocalyptic number.

2144900447820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144900447820 is an abundant number, since it is smaller than the sum of its proper divisors (4950467045940).

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

2144900447820 is a wasteful number, since it uses less digits than its factorization.

2144900447820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11602944 (or 11602939 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2144900447820 in words is "two trillion, one hundred forty-four billion, nine hundred million, four hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 711 780 790 948 1027 1170 1185 1422 1580 2054 2340 2370 2844 3081 3555 4108 4740 5135 6162 7110 9243 10270 12324 14220 15405 18486 20540 30810 36972 46215 61620 92430 184860 11602837 23205674 34808511 46411348 58014185 69617022 104425533 116028370 139234044 150836881 174042555 208851066 232056740 301673762 348085110 417702132 452510643 522127665 603347524 696170220 754184405 905021286 916624123 1044255330 1357531929 1508368810 1810042572 1833248246 2088510660 2262553215 2715063858 2749872369 3016737620 3666496492 4525106430 4583120615 5430127716 5499744738 6787659645 8249617107 9050212860 9166241230 10999489476 11916113599 13575319290 13749361845 16499234214 18332482460 23832227198 27150638580 27498723690 32998468428 35748340797 41248085535 47664454396 54997447380 59580567995 71496681594 82496171070 107245022391 119161135990 142993363188 164992342140 178741703985 214490044782 238322271980 357483407970 428980089564 536225111955 714966815940 1072450223910 2144900447820