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143993149352 = 231317196170271
BaseRepresentation
bin1000011000011010101…
…0010001011110101000
3111202200010111212212122
42012012222101132220
54324344221234402
6150052144530412
713255166401103
oct2060652213650
9452603455778
10143993149352
1156081419378
1223aa7020a08
1310769c55470
146d7dabb73a
153b2b591ca2
hex2186a917a8

143993149352 has 128 divisors (see below), whose sum is σ = 329378918400. Its totient is φ = 58284748800.

The previous prime is 143993149351. The next prime is 143993149357. The reversal of 143993149352 is 253941399341.

It is a junction number, because it is equal to n+sod(n) for n = 143993149294 and 143993149303.

It is not an unprimeable number, because it can be changed into a prime (143993149351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013977 + ... + 2084247.

It is an arithmetic number, because the mean of its divisors is an integer number (2573272800).

Almost surely, 2143993149352 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 143993149352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689459200).

143993149352 is an abundant number, since it is smaller than the sum of its proper divisors (185385769048).

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

143993149352 is a wasteful number, since it uses less digits than its factorization.

143993149352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70387 (or 70383 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 53.

The spelling of 143993149352 in words is "one hundred forty-three billion, nine hundred ninety-three million, one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 61 68 76 104 122 136 152 221 244 247 323 442 488 494 646 793 884 988 1037 1159 1292 1586 1768 1976 2074 2318 2584 3172 4148 4199 4636 6344 8296 8398 9272 13481 15067 16796 19703 26962 30134 33592 39406 53924 60268 70271 78812 107848 120536 140542 157624 256139 281084 512278 562168 913523 1024556 1194607 1335149 1827046 2049112 2389214 2670298 3654092 4286531 4778428 5340596 7308184 8573062 9556856 10681192 15529891 17146124 17356937 22697533 31059782 34292248 34713874 45395066 55724903 62119564 69427748 72871027 81444089 90790132 111449806 124239128 138855496 145742054 162888178 181580264 222899612 291484108 295067929 325776356 445799224 582968216 590135858 651552712 947323351 1058773157 1180271716 1384549513 1894646702 2117546314 2360543432 2769099026 3789293404 4235092628 5538198052 7578586808 8470185256 11076396104 17999143669 35998287338 71996574676 143993149352