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21443034433040 = 2451161626363781
BaseRepresentation
bin1001110000000100110000…
…11100110100011000010000
32210220221012221100000012222
410320002120130310120100
510302310313303324130
6113334443302040212
74342131245226203
oct470023034643020
983827187300188
1021443034433040
116917a37a11870
1224a3978a19068
13bc70b981c36c
14541bc404193a
15272bb10c3ce5
hex138098734610

21443034433040 has 160 divisors (see below), whose sum is σ = 55288621516032. Its totient is φ = 7668294912000.

The previous prime is 21443034433001. The next prime is 21443034433127. The reversal of 21443034433040 is 4033443034412.

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, 336165950 + ... + 336229730.

Almost surely, 221443034433040 is an apocalyptic number.

21443034433040 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 21443034433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27644310758016).

21443034433040 is an abundant number, since it is smaller than the sum of its proper divisors (33845587082992).

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

21443034433040 is a wasteful number, since it uses less digits than its factorization.

21443034433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70129 (or 70123 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 21443034433040 its reverse (4033443034412), we get a palindrome (25476477467452).

The spelling of 21443034433040 in words is "twenty-one trillion, four hundred forty-three billion, thirty-four million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4880 5368 6263 6710 10736 12526 13420 25052 26840 31315 50104 53680 62630 63781 68893 100208 125260 127562 137786 250520 255124 275572 318905 344465 382043 501040 510248 551144 637810 688930 701591 764086 1020496 1102288 1275620 1377860 1403182 1528172 1910215 2551240 2755720 2806364 3056344 3507955 3820430 3890641 4202473 5102480 5511440 5612728 6112688 7015910 7640860 7781282 8404946 11225456 14031820 15281720 15562564 16809892 19453205 21012365 28063640 30563440 31125128 33619784 38906410 42024730 42797051 56127280 62250256 67239568 77812820 84049460 85594102 155625640 168098920 171188204 213985255 311251280 336197840 342376408 399460403 427970510 684752816 798920806 855941020 1597841612 1711882040 1997302015 3195683224 3423764080 3994604030 4394064433 6391366448 7989208060 8788128866 15978416120 17576257732 21970322165 24367084583 31956832240 35152515464 43940644330 48734169166 70305030928 87881288660 97468338332 121835422915 175762577320 194936676664 243670845830 268037930413 351525154640 389873353328 487341691660 536075860826 974683383320 1072151721652 1340189652065 1949366766640 2144303443304 2680379304130 4288606886608 5360758608260 10721517216520 21443034433040