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141724264704 = 2831133150683
BaseRepresentation
bin1000001111111101101…
…1001010100100000000
3111112211000012121020220
42003333123022210000
54310222402432304
6145035054503040
713145026242051
oct2037733124400
9445730177226
10141724264704
115511771a7a0
1223573204a80
1310497b85b79
146c0662c728
153a472b9ad9
hex20ff6ca900

141724264704 has 144 divisors (see below), whose sum is σ = 412734814464. Its totient is φ = 42816153600.

The previous prime is 141724264699. The next prime is 141724264709. The reversal of 141724264704 is 407462427141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141724264699) and next prime (141724264709).

It is not an unprimeable number, because it can be changed into a prime (141724264709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770947 + ... + 2821629.

Almost surely, 2141724264704 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 141724264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206367407232).

141724264704 is an abundant number, since it is smaller than the sum of its proper divisors (271010549760).

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

141724264704 is a wasteful number, since it uses less digits than its factorization.

141724264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51044 (or 51030 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 141724264704 in words is "one hundred forty-one billion, seven hundred twenty-four million, two hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 331 352 384 528 662 704 768 993 1056 1324 1408 1986 2112 2648 2816 3641 3972 4224 5296 7282 7944 8448 10592 10923 14564 15888 21184 21846 29128 31776 42368 43692 50683 58256 63552 84736 87384 101366 116512 127104 152049 174768 202732 233024 254208 304098 349536 405464 466048 557513 608196 699072 810928 932096 1115026 1216392 1398144 1621856 1672539 2230052 2432784 2796288 3243712 3345078 4460104 4865568 6487424 6690156 8920208 9731136 12974848 13380312 16776073 17840416 19462272 26760624 33552146 35680832 38924544 50328219 53521248 67104292 71361664 100656438 107042496 134208584 142723328 184536803 201312876 214084992 268417168 369073606 402625752 428169984 536834336 553610409 738147212 805251504 1073668672 1107220818 1476294424 1610503008 2147337344 2214441636 2952588848 3221006016 4294674688 4428883272 5905177696 6442012032 8857766544 11810355392 12884024064 17715533088 23620710784 35431066176 47241421568 70862132352 141724264704