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4421013311034 = 2333113161932569
BaseRepresentation
bin100000001010101100011…
…1011011000111000111010
3120122122102000111212121000
41000111120323120320322
51034413213401423114
613222552510225430
7634256555051445
oct100253073307072
916578360455530
104421013311034
111454a39838621
125b49a44b5276
13260b90a2c518
14113d9a1dc65c
157a00257ee09
hex40558ed8e3a

4421013311034 has 128 divisors (see below), whose sum is σ = 10235630592000. Its totient is φ = 1412917084800.

The previous prime is 4421013311009. The next prime is 4421013311053. The reversal of 4421013311034 is 4301133101244.

4421013311034 is a `hidden beast` number, since 4 + 421 + 0 + 133 + 1 + 103 + 4 = 666.

It is a super-2 number, since 2×44210133110342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4421013310989 and 4421013311007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135726702 + ... + 135759270.

It is an arithmetic number, because the mean of its divisors is an integer number (79965864000).

Almost surely, 24421013311034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421013311034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117815296000).

4421013311034 is an abundant number, since it is smaller than the sum of its proper divisors (5814617280966).

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

4421013311034 is a wasteful number, since it uses less digits than its factorization.

4421013311034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33361 (or 33355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4421013311034 its reverse (4301133101244), we get a palindrome (8722146412278).

The spelling of 4421013311034 in words is "four trillion, four hundred twenty-one billion, thirteen million, three hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 131 186 262 279 393 558 619 786 837 1179 1238 1674 1857 2358 3537 3714 4061 5571 7074 8122 11142 12183 16713 19189 24366 32569 33426 36549 38378 57567 65138 73098 81089 97707 109647 115134 162178 172701 195414 219294 243267 293121 345402 486534 518103 586242 729801 879363 1009639 1036206 1459602 1758726 2019278 2189403 2513759 3028917 4266539 4378806 5027518 6057834 7541277 8533078 9086751 12799617 15082554 18173502 20160211 22623831 25599234 27260253 38398851 40320422 45247662 54520506 60480633 67871493 76797702 115196553 120961266 132262709 135742986 181441899 230393106 264525418 362883798 396788127 544325697 624966541 793576254 1088651394 1190364381 1249933082 1874899623 2380728762 2640987641 3571093143 3749799246 5281975282 5624698869 7142186286 7922962923 11249397738 15845925846 16874096607 23768888769 33748193214 47537777538 71306666307 81870616871 142613332614 163741233742 245611850613 491223701226 736835551839 1473671103678 2210506655517 4421013311034