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21040114400320 = 2655910910223971
BaseRepresentation
bin1001100100010110010001…
…00010110111110001000000
32202111102012202012121101011
410302023020202313301000
510224210123241302240
6112425410051250304
74301045435401231
oct462131042676100
982442182177334
1021040114400320
116782076078694
12243986b8a9994
13b980c7248012
1452a4c0131088
1526747d1806ea
hex1322c88b7c40

21040114400320 has 112 divisors (see below), whose sum is σ = 51418399982400. Its totient is φ = 8197497354240.

The previous prime is 21040114400317. The next prime is 21040114400353. The reversal of 21040114400320 is 2300441104012.

It is a happy number.

It is a super-2 number, since 2×210401144003202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21040114400291 and 21040114400300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054066 + ... + 7169905.

Almost surely, 221040114400320 is an apocalyptic number.

21040114400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21040114400320 is an abundant number, since it is smaller than the sum of its proper divisors (30378285582080).

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

21040114400320 is a wasteful number, since it uses less digits than its factorization.

21040114400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224156 (or 10224146 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21040114400320 its reverse (2300441104012), we get a palindrome (23340555504332).

The spelling of 21040114400320 in words is "twenty-one trillion, forty billion, one hundred fourteen million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 109 118 160 218 236 295 320 436 472 545 590 872 944 1090 1180 1744 1888 2180 2360 3488 3776 4360 4720 6431 6976 8720 9440 12862 17440 18880 25724 32155 34880 51448 64310 102896 128620 205792 257240 411584 514480 1028960 2057920 10223971 20447942 40895884 51119855 81791768 102239710 163583536 204479420 327167072 408958840 603214289 654334144 817917680 1114412839 1206428578 1635835360 2228825678 2412857156 3016071445 3271670720 4457651356 4825714312 5572064195 6032142890 8915302712 9651428624 11144128390 12064285780 17830605424 19302857248 22288256780 24128571560 35661210848 38605714496 44576513560 48257143120 65750357501 71322421696 89153027120 96514286240 131500715002 178306054240 193028572480 263001430004 328751787505 356612108480 526002860008 657503575010 1052005720016 1315007150020 2104011440032 2630014300040 4208022880064 5260028600080 10520057200160 21040114400320