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21454524050040 = 23325232591126093
BaseRepresentation
bin1001110000011010001010…
…10010001110101001111000
32210222000212200002000201100
410320031011102032221320
510303002331124100130
6113344023340251400
74343016051322644
oct470150522165170
983860780060640
1021454524050040
1169218a3565104
1224a6044840b60
13bc81cb004ac3
14542593d63c24
15273134b29c60
hex13834548ea78

21454524050040 has 96 divisors (see below), whose sum is σ = 72758820719520. Its totient is φ = 5472458306304.

The previous prime is 21454524050033. The next prime is 21454524050077. The reversal of 21454524050040 is 4005042545412.

21454524050040 is a `hidden beast` number, since 2 + 1 + 4 + 545 + 24 + 0 + 50 + 0 + 40 = 666.

It is a super-3 number, since 3×214545240500403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21454524049977 and 21454524050004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295554767 + ... + 1295571326.

It is an arithmetic number, because the mean of its divisors is an integer number (757904382495).

Almost surely, 221454524050040 is an apocalyptic number.

21454524050040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21454524050040 is an abundant number, since it is smaller than the sum of its proper divisors (51304296669480).

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

21454524050040 is a wasteful number, since it uses less digits than its factorization.

21454524050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591126133 (or 2591126126 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 21454524050040 its reverse (4005042545412), we get a palindrome (25459566595452).

The spelling of 21454524050040 in words is "twenty-one trillion, four hundred fifty-four billion, five hundred twenty-four million, fifty 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 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 2591126093 5182252186 7773378279 10364504372 12955630465 15546756558 20729008744 23320134837 25911260930 31093513116 38866891395 46640269674 51822521860 59595900139 62187026232 77733782790 93280539348 103645043720 116600674185 119191800278 155467565580 178787700417 186561078696 233201348370 238383600556 297979500695 310935131160 357575400834 466402696740 476767201112 536363101251 595959001390 715150801668 893938502085 932805393480 1072726202502 1191918002780 1430301603336 1787877004170 2145452405004 2383836005560 2681815506255 3575754008340 4290904810008 5363631012510 7151508016680 10727262025020 21454524050040