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21315235440 = 2435318573343
BaseRepresentation
bin10011110110011111…
…001010111001110000
32001000111101011002110
4103312133022321300
5322123200013230
613443031245320
71353132340362
oct236637127160
961014334073
1021315235440
119048992964
12416a519840
132019018465
141062c50d32
1584b46a4b0
hex4f67cae70

21315235440 has 160 divisors (see below), whose sum is σ = 68308770816. Its totient is φ = 5492643840.

The previous prime is 21315235423. The next prime is 21315235457. The reversal of 21315235440 is 4453251312.

It is an interprime number because it is at equal distance from previous prime (21315235423) and next prime (21315235457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21315235398 and 21315235407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6374409 + ... + 6377751.

Almost surely, 221315235440 is an apocalyptic number.

21315235440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21315235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34154385408).

21315235440 is an abundant number, since it is smaller than the sum of its proper divisors (46993535376).

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

21315235440 is a wasteful number, since it uses less digits than its factorization.

21315235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 21315235440 its reverse (4453251312), we get a palindrome (25768486752).

The spelling of 21315235440 in words is "twenty-one billion, three hundred fifteen million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 857 930 1240 1488 1714 1860 2480 2571 3343 3428 3720 4285 5142 6686 6856 7440 8570 10029 10284 12855 13372 13712 16715 17140 20058 20568 25710 26567 26744 33430 34280 40116 41136 50145 51420 53134 53488 66860 68560 79701 80232 100290 102840 103633 106268 132835 133720 159402 160464 200580 205680 207266 212536 265670 267440 310899 318804 398505 401160 414532 425072 518165 531340 621798 637608 797010 802320 829064 1036330 1062680 1243596 1275216 1554495 1594020 1658128 2072660 2125360 2487192 2864951 3108990 3188040 4145320 4974384 5729902 6217980 6376080 8290640 8594853 11459804 12435960 14324755 17189706 22919608 24871920 28649510 34379412 42974265 45839216 57299020 68758824 85948530 88813481 114598040 137517648 171897060 177626962 229196080 266440443 343794120 355253924 444067405 532880886 687588240 710507848 888134810 1065761772 1332202215 1421015696 1776269620 2131523544 2664404430 3552539240 4263047088 5328808860 7105078480 10657617720 21315235440