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140803528032 = 253210334713679
BaseRepresentation
bin1000001100100010001…
…0110101010101100000
3111110102211200022222200
42003020202311111200
54301331200344112
6144403444133200
713113146145426
oct2031042652540
9443384608880
10140803528032
1154794a146a2
1223356997200
131037c1ab97b
146b5a235116
1539e1543cdc
hex20c88b5560

140803528032 has 144 divisors (see below), whose sum is σ = 405492272640. Its totient is φ = 46341501696.

The previous prime is 140803528027. The next prime is 140803528039. The reversal of 140803528032 is 230825308041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140803528039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10286569 + ... + 10300247.

It is an arithmetic number, because the mean of its divisors is an integer number (2815918560).

Almost surely, 2140803528032 is an apocalyptic number.

140803528032 is a gapful number since it is divisible by the number (12) 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 140803528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202746136320).

140803528032 is an abundant number, since it is smaller than the sum of its proper divisors (264688744608).

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

140803528032 is a wasteful number, since it uses less digits than its factorization.

140803528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14145 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 140803528032 in words is "one hundred forty billion, eight hundred three million, five hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 347 412 618 694 824 927 1041 1236 1388 1648 1854 2082 2472 2776 3123 3296 3708 4164 4944 5552 6246 7416 8328 9888 11104 12492 13679 14832 16656 24984 27358 29664 33312 35741 41037 49968 54716 71482 82074 99936 107223 109432 123111 142964 164148 214446 218864 246222 285928 321669 328296 428892 437728 492444 571856 643338 656592 857784 984888 1143712 1286676 1313184 1408937 1715568 1969776 2573352 2817874 3431136 3939552 4226811 4746613 5146704 5635748 8453622 9493226 10293408 11271496 12680433 14239839 16907244 18986452 22542992 25360866 28479678 33814488 37972904 42719517 45085984 50721732 56959356 67628976 75945808 85439034 101443464 113918712 135257952 151891616 170878068 202886928 227837424 341756136 405773856 455674848 488901139 683512272 977802278 1367024544 1466703417 1955604556 2933406834 3911209112 4400110251 5866813668 7822418224 8800220502 11733627336 15644836448 17600441004 23467254672 35200882008 46934509344 70401764016 140803528032