Search a number
-
+
140100764064 = 25323401158233
BaseRepresentation
bin1000001001111010101…
…0000000000110100000
3111101121212022020001120
42002132222000012200
54243411243422224
6144210021332240
713056553563042
oct2023652000640
9441555266046
10140100764064
1154464257728
122319b567080
13102997124c1
146ad0b7ba92
15399e9c7779
hex209ea801a0

140100764064 has 96 divisors (see below), whose sum is σ = 384713691264. Its totient is φ = 44558131200.

The previous prime is 140100764051. The next prime is 140100764161. The reversal of 140100764064 is 460467001041.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806292 + ... + 964524.

It is an arithmetic number, because the mean of its divisors is an integer number (4007434284).

Almost surely, 2140100764064 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 140100764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192356845632).

140100764064 is an abundant number, since it is smaller than the sum of its proper divisors (244612927200).

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

140100764064 is a wasteful number, since it uses less digits than its factorization.

140100764064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158670 (or 158662 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 140100764064 in words is "one hundred forty billion, one hundred million, seven hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 401 552 736 802 1104 1203 1604 2208 2406 3208 4812 6416 9223 9624 12832 18446 19248 27669 36892 38496 55338 73784 110676 147568 158233 221352 295136 316466 442704 474699 632932 885408 949398 1265864 1898796 2531728 3639359 3797592 5063456 7278718 7595184 10918077 14557436 15190368 21836154 29114872 43672308 58229744 63451433 87344616 116459488 126902866 174689232 190354299 253805732 349378464 380708598 507611464 761417196 1015222928 1459382959 1522834392 2030445856 2918765918 3045668784 4378148877 5837531836 6091337568 8756297754 11675063672 17512595508 23350127344 35025191016 46700254688 70050382032 140100764064