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21474042778440 = 233457946827283
BaseRepresentation
bin1001110000111110100001…
…01100010001001101001000
32211000220020222000011110000
410320133100230101031020
510303312314422402230
6113401012234323000
74344306540634440
oct470372054211510
984026228004400
1021474042778440
11692a0aa3596aa
1224a9991589460
13bc9cbba84035
145434c636b120
152738c84cbb60
hex1387d0b11348

21474042778440 has 160 divisors (see below), whose sum is σ = 82487592982080. Its totient is φ = 4908352629888.

The previous prime is 21474042778423. The next prime is 21474042778567. The reversal of 21474042778440 is 4487724047412.

21474042778440 is a `hidden beast` number, since 2 + 147 + 4 + 0 + 427 + 78 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×214740427784402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473390962 + ... + 473436321.

It is an arithmetic number, because the mean of its divisors is an integer number (515547456138).

Almost surely, 221474042778440 is an apocalyptic number.

21474042778440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21474042778440 is an abundant number, since it is smaller than the sum of its proper divisors (61013550203640).

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

21474042778440 is a wasteful number, since it uses less digits than its factorization.

21474042778440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946827313 (or 946827300 counting only the distinct ones).

The product of its (nonzero) digits is 11239424, while the sum is 54.

The spelling of 21474042778440 in words is "twenty-one trillion, four hundred seventy-four billion, forty-two million, seven hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 946827283 1893654566 2840481849 3787309132 4734136415 5680963698 6627790981 7574618264 8521445547 9468272830 11361927396 13255581962 14202409245 17042891094 18936545660 19883372943 22723854792 25564336641 26511163924 28404818490 33138954905 34085782188 37873091320 39766745886 42607227735 51128673282 53022327848 56809636980 59650118829 66277909810 68171564376 76693009923 79533491772 85214455470 99416864715 102257346564 113619273960 119300237658 127821683205 132555819620 153386019846 159066983544 170428910940 178950356487 198833729430 204514693128 238600475316 255643366410 265111639240 298250594145 306772039692 340857821880 357900712974 383465049615 397667458860 477200950632 511286732820 536851069461 596501188290 613544079384 715801425948 766930099230 795334917720 894751782435 1022573465640 1073702138922 1193002376580 1431602851896 1533860198460 1789503564870 2147404277844 2386004753160 2684255347305 3067720396920 3579007129740 4294808555688 5368510694610 7158014259480 10737021389220 21474042778440