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143124201024 = 2637302335227
BaseRepresentation
bin1000010101001011011…
…1011111111001000000
3111200102120102201212020
42011102313133321000
54321104243413044
6145430024201440
713224515431050
oct2052267377100
9450376381766
10143124201024
1155775975662
12238a4009280
131065bc1165c
146cda525560
153aca14aa19
hex2152ddfe40

143124201024 has 112 divisors (see below), whose sum is σ = 432935774208. Its totient is φ = 40877941248.

The previous prime is 143124200983. The next prime is 143124201037. The reversal of 143124201024 is 420102421341.

143124201024 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 143124200985 and 143124201003.

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 15 ways as a sum of consecutive naturals, for example, 4045299 + ... + 4080525.

It is an arithmetic number, because the mean of its divisors is an integer number (3865497984).

Almost surely, 2143124201024 is an apocalyptic number.

143124201024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143124201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216467887104).

143124201024 is an abundant number, since it is smaller than the sum of its proper divisors (289811573184).

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

143124201024 is a wasteful number, since it uses less digits than its factorization.

143124201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38272 (or 38262 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 143124201024 its reverse (420102421341), we get a palindrome (563226622365).

The spelling of 143124201024 in words is "one hundred forty-three billion, one hundred twenty-four million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3023 6046 9069 12092 18138 21161 24184 35227 36276 42322 48368 63483 70454 72552 84644 96736 105681 126966 140908 145104 169288 193472 211362 246589 253932 281816 290208 338576 422724 493178 507864 563632 580416 677152 739767 845448 986356 1015728 1127264 1354304 1479534 1690896 1972712 2031456 2254528 2959068 3381792 3945424 4062912 5918136 6763584 7890848 11836272 15781696 23672544 47345088 106491221 212982442 319473663 425964884 638947326 745438547 851929768 1277894652 1490877094 1703859536 2236315641 2555789304 2981754188 3407719072 4472631282 5111578608 5963508376 6815438144 8945262564 10223157216 11927016752 17890525128 20446314432 23854033504 35781050256 47708067008 71562100512 143124201024