Search a number
-
+
240242906664576 = 2732298376989449
BaseRepresentation
bin110110100111111111101001…
…000111001000111010000000
31011111121222221020022011002100
4312213333221013020322000
5222442114433101231301
62210542022342350400
7101413656121065024
oct6647775107107200
91144558836264070
10240242906664576
116a604498768792
1222b4082742b400
13a408a6919041a
144347b6681a384
151cb9408ec1286
hexda7fe91c8e80

240242906664576 has 96 divisors (see below), whose sum is σ = 691347258166500. Its totient is φ = 80078273482752.

The previous prime is 240242906664569. The next prime is 240242906664611. The reversal of 240242906664576 is 675466609242042.

It can be written as a sum of positive squares in 2 ways, for example, as 227019792614976 + 13223114049600 = 15067176^2 + 3636360^2 .

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 11 ways as a sum of consecutive naturals, for example, 30877500 + ... + 37866948.

Almost surely, 2240242906664576 is an apocalyptic number.

It is an amenable number.

240242906664576 is an abundant number, since it is smaller than the sum of its proper divisors (451104351501924).

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

240242906664576 is a wasteful number, since it uses less digits than its factorization.

240242906664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019306 (or 7019291 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 240242906664576 in words is "two hundred forty trillion, two hundred forty-two billion, nine hundred six million, six hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 29837 59674 89511 119348 179022 238696 268533 358044 477392 537066 716088 954784 1074132 1432176 1909568 2148264 2864352 3819136 4296528 5728704 6989449 8593056 11457408 13978898 17186112 20968347 27957796 34372224 41936694 55915592 62905041 83873388 111831184 125810082 167746776 223662368 251620164 335493552 447324736 503240328 670987104 894649472 1006480656 1341974208 2012961312 2683948416 4025922624 8051845248 208544189813 417088379626 625632569439 834176759252 1251265138878 1668353518504 1876897708317 2502530277756 3336707037008 3753795416634 5005060555512 6673414074016 7507590833268 10010121111024 13346828148032 15015181666536 20020242222048 26693656296064 30030363333072 40040484444096 60060726666144 80080968888192 120121453332288 240242906664576