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21420201240240 = 2435118113712591
BaseRepresentation
bin1001101111011010001110…
…11111000110011010110000
32210211202021122122122002120
410313231013133012122300
510301422033004141430
6113320145443314240
74340362361260035
oct467550737063260
983752248578076
1021420201240240
1169092901a40a0
12249b46607b980
13bc4bbb1951aa
14540a5977538c
152722c6763610
hex137b477c66b0

21420201240240 has 80 divisors (see below), whose sum is σ = 72439226021376. Its totient is φ = 5192776057600.

The previous prime is 21420201240239. The next prime is 21420201240247. The reversal of 21420201240240 is 4204210202412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21420201240240.

It is not an unprimeable number, because it can be changed into a prime (21420201240247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4056853656 + ... + 4056858935.

Almost surely, 221420201240240 is an apocalyptic number.

21420201240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21420201240240 is an abundant number, since it is smaller than the sum of its proper divisors (51019024781136).

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

21420201240240 is a wasteful number, since it uses less digits than its factorization.

21420201240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113712618 (or 8113712612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21420201240240 its reverse (4204210202412), we get a palindrome (25624411442652).

The spelling of 21420201240240 in words is "twenty-one trillion, four hundred twenty billion, two hundred one million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8113712591 16227425182 24341137773 32454850364 40568562955 48682275546 64909700728 81137125910 89250838501 97364551092 121705688865 129819401456 162274251820 178501677002 194729102184 243411377730 267752515503 324548503640 357003354004 389458204368 446254192505 486822755460 535505031006 649097007280 714006708008 892508385010 973645510920 1071010062012 1338762577515 1428013416016 1785016770020 1947291021840 2142020124024 2677525155030 3570033540040 4284040248048 5355050310060 7140067080080 10710100620120 21420201240240