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23140414110 = 23511178349697
BaseRepresentation
bin10101100011010001…
…101011001010011110
32012201200202211112110
4111203101223022132
5334342421222420
614344111214450
71446304163112
oct254321531236
965650684473
1023140414110
1198a5184690
124599817426
13224a1b2b38
1411973dd742
159067e8ee0
hex56346b29e

23140414110 has 128 divisors (see below), whose sum is σ = 64923876864. Its totient is φ = 5216092160.

The previous prime is 23140414069. The next prime is 23140414133. The reversal of 23140414110 is 1141404132.

It is a congruent number.

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, 440782 + ... + 490478.

It is an arithmetic number, because the mean of its divisors is an integer number (507217788).

Almost surely, 223140414110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23140414110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32461938432).

23140414110 is an abundant number, since it is smaller than the sum of its proper divisors (41783462754).

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

23140414110 is a wasteful number, since it uses less digits than its factorization.

23140414110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49818.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23140414110 its reverse (1141404132), we get a palindrome (24281818242).

The spelling of 23140414110 in words is "twenty-three billion, one hundred forty million, four hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 83 85 102 110 165 166 170 187 249 255 330 374 415 498 510 561 830 913 935 1122 1245 1411 1826 1870 2490 2739 2805 2822 4233 4565 5478 5610 7055 8466 9130 13695 14110 15521 21165 27390 31042 42330 46563 49697 77605 93126 99394 149091 155210 232815 248485 298182 465630 496970 546667 745455 844849 1093334 1490910 1640001 1689698 2534547 2733335 3280002 4124851 4224245 5069094 5466670 8200005 8249702 8448490 9293339 12374553 12672735 16400010 18586678 20624255 24749106 25345470 27880017 41248510 45373361 46466695 55760034 61872765 70122467 90746722 92933390 123745530 136120083 139400085 140244934 210367401 226866805 272240166 278800170 350612335 420734802 453733610 680600415 701224670 771347137 1051837005 1361200830 1542694274 2103674010 2314041411 3856735685 4628082822 7713471370 11570207055 23140414110