Search a number
-
+
714400069540 = 225194161974077
BaseRepresentation
bin10100110010101011000…
…11111111011110100100
32112021222202202201112211
422121111203333132210
543201042404211130
61304105120453204
7102420333253363
oct12312543773644
92467882681484
10714400069540
11255a80240013
12b655717a204
13524a1912c51
142681199d7da
15138b33b4a2a
hexa6558ff7a4

714400069540 has 96 divisors (see below), whose sum is σ = 1620352540800. Its totient is φ = 263686855680.

The previous prime is 714400069469. The next prime is 714400069561. The reversal of 714400069540 is 45960004417.

It is a junction number, because it is equal to n+sod(n) for n = 714400069493 and 714400069502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9606982 + ... + 9681058.

It is an arithmetic number, because the mean of its divisors is an integer number (16878672300).

Almost surely, 2714400069540 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 714400069540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810176270400).

714400069540 is an abundant number, since it is smaller than the sum of its proper divisors (905952471260).

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

714400069540 is a wasteful number, since it uses less digits than its factorization.

714400069540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74765 (or 74763 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 714400069540 in words is "seven hundred fourteen billion, four hundred million, sixty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 619 779 820 1238 1558 2476 3095 3116 3895 6190 7790 11761 12380 15580 23522 25379 47044 50758 58805 74077 101516 117610 126895 148154 235220 253790 296308 370385 482201 507580 740770 964402 1407463 1481540 1928804 2411005 2814926 3037157 4822010 5629852 6074314 7037315 9644020 12148628 14074630 15185785 28149260 30371570 45853663 57705983 60743140 91707326 115411966 183414652 229268315 230823932 288529915 458536630 577059830 871219597 917073260 1154119660 1742439194 1880000183 3484878388 3760000366 4356097985 7520000732 8712195970 9400000915 17424391940 18800001830 35720003477 37600003660 71440006954 142880013908 178600017385 357200034770 714400069540