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21441301440 = 2635131718053
BaseRepresentation
bin10011111110000000…
…000100101111000000
32001100021120222010120
4103332000010233000
5322402433121230
613503333300240
71356223024626
oct237600045700
961307528116
1021441301440
119103068139
1241a4794680
132039187420
1410758a9516
1585756d310
hex4fe004bc0

21441301440 has 112 divisors (see below), whose sum is σ = 73312800288. Its totient is φ = 5277855744.

The previous prime is 21441301433. The next prime is 21441301457. The reversal of 21441301440 is 4410314412.

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 21441301440.

It is a congruent number.

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, 846547 + ... + 871506.

It is an arithmetic number, because the mean of its divisors is an integer number (654578574).

Almost surely, 221441301440 is an apocalyptic number.

21441301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441301440 is an abundant number, since it is smaller than the sum of its proper divisors (51871498848).

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

21441301440 is a wasteful number, since it uses less digits than its factorization.

21441301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718086 (or 1718076 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21441301440 its reverse (4410314412), we get a palindrome (25851615852).

The spelling of 21441301440 in words is "twenty-one billion, four hundred forty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 1718053 3436106 5154159 6872212 8590265 10308318 13744424 17180530 20616636 22334689 25770795 27488848 34361060 41233272 44669378 51541590 54977696 67004067 68722120 82466544 89338756 103083180 109955392 111673445 134008134 137444240 164933088 178677512 206166360 223346890 268016268 274888480 329866176 335020335 357355024 412332720 446693780 536032536 549776960 670040670 714710048 824665440 893387560 1072065072 1340081340 1429420096 1649330880 1786775120 2144130144 2680162680 3573550240 4288260288 5360325360 7147100480 10720650720 21441301440