Search a number
-
+
51455524640040 = 23325232270192841
BaseRepresentation
bin10111011001100011011000…
…10001001001010100101000
320202012002200222120000122100
423230301230101021110220
523221021403301440130
6301234201445453400
713560352603631163
oct1354615421112450
9222162628500570
1051455524640040
1115439190242244
125930513111260
132293309829931
14c9c664172ada
155e372269ec60
hex2ecc6c449528

51455524640040 has 144 divisors (see below), whose sum is σ = 174817470702420. Its totient is φ = 13124887395840.

The previous prime is 51455524640033. The next prime is 51455524640041. The reversal of 51455524640040 is 4004642555415.

51455524640040 is a `hidden beast` number, since 5 + 1 + 45 + 5 + 524 + 6 + 40 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43846301695716 + 7609222944324 = 6621654^2 + 2758482^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51455524640041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134905981 + ... + 135286860.

Almost surely, 251455524640040 is an apocalyptic number.

It is an amenable number.

51455524640040 is an abundant number, since it is smaller than the sum of its proper divisors (123361946062380).

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

51455524640040 is a wasteful number, since it uses less digits than its factorization.

51455524640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270192904 (or 270192874 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 51455524640040 in words is "fifty-one trillion, four hundred fifty-five billion, five hundred twenty-four million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 529 552 690 828 920 1035 1058 1380 1587 1656 2070 2116 2645 2760 3174 4140 4232 4761 5290 6348 7935 8280 9522 10580 12696 15870 19044 21160 23805 31740 38088 47610 63480 95220 190440 270192841 540385682 810578523 1080771364 1350964205 1621157046 2161542728 2431735569 2701928410 3242314092 4052892615 4863471138 5403856820 6214435343 6484628184 8105785230 9726942276 10807713640 12158677845 12428870686 16211570460 18643306029 19453884552 24317355690 24857741372 31072176715 32423140920 37286612058 48634711380 49715482744 55929918087 62144353430 74573224116 93216530145 97269422760 111859836174 124288706860 142932012889 149146448232 186433060290 223719672348 248577413720 279649590435 285864025778 372866120580 428796038667 447439344696 559299180870 571728051556 714660064445 745732241160 857592077334 1118598361740 1143456103112 1286388116001 1429320128890 1715184154668 2143980193335 2237196723480 2572776232002 2858640257780 3430368309336 4287960386670 5145552464004 5717280515560 6431940580005 8575920773340 10291104928008 12863881160010 17151841546680 25727762320020 51455524640040