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21241522343040 = 273519582278573
BaseRepresentation
bin1001101010001101011010…
…11001001100110010000000
32210012200002012210012012020
410311012231121030302000
510241010114204434130
6113102115354401440
74321435503561426
oct465065531146200
983180065705166
1021241522343040
11684a52a66300a
1224708baa30280
13bb10b4166c9c
145361491d1116
1526c81a017e10
hex1351ad64cc80

21241522343040 has 128 divisors (see below), whose sum is σ = 71270897457600. Its totient is φ = 5366279319552.

The previous prime is 21241522343009. The next prime is 21241522343047. The reversal of 21241522343040 is 4034322514212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21241522342992 and 21241522343010.

It is not an unprimeable number, because it can be changed into a prime (21241522343047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 291102807 + ... + 291175766.

Almost surely, 221241522343040 is an apocalyptic number.

21241522343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241522343040 is an abundant number, since it is smaller than the sum of its proper divisors (50029375114560).

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

21241522343040 is a wasteful number, since it uses less digits than its factorization.

21241522343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582278614 (or 582278602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 21241522343040 its reverse (4034322514212), we get a palindrome (25275844857252).

The spelling of 21241522343040 in words is "twenty-one trillion, two hundred forty-one billion, five hundred twenty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 582278573 1164557146 1746835719 2329114292 2911392865 3493671438 4658228584 5822785730 6987342876 8734178595 9316457168 11063292887 11645571460 13974685752 17468357190 18632914336 22126585774 23291142920 27949371504 33189878661 34936714380 37265828672 44253171548 46582285840 55316464435 55898743008 66379757322 69873428760 74531657344 88506343096 93164571680 110632928870 111797486016 132759514644 139746857520 165949393305 177012686192 186329143360 221265857740 223594972032 265519029288 279493715040 331898786610 354025372384 372658286720 442531715480 531038058576 558987430080 663797573220 708050744768 885063430960 1062076117152 1117974860160 1327595146440 1416101489536 1770126861920 2124152234304 2655190292880 3540253723840 4248304468608 5310380585760 7080507447680 10620761171520 21241522343040