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42402010320 = 24325154338167
BaseRepresentation
bin100111011111010110…
…110101010011010000
311001110001212022012200
4213133112311103100
51143314403312240
631251302123200
73030522066225
oct473726652320
9131401768180
1042402010320
1116a89913a3a
128274420500
133cc98c3247
1420a35d194c
151182808930
hex9df5b54d0

42402010320 has 120 divisors (see below), whose sum is σ = 142496105856. Its totient is φ = 11299578624.

The previous prime is 42402010297. The next prime is 42402010331. The reversal of 42402010320 is 2301020424.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42402010293 and 42402010302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091877 + ... + 1130043.

Almost surely, 242402010320 is an apocalyptic number.

42402010320 is a gapful number since it is divisible by the number (40) 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 42402010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71248052928).

42402010320 is an abundant number, since it is smaller than the sum of its proper divisors (100094095536).

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

42402010320 is a wasteful number, since it uses less digits than its factorization.

42402010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39729 (or 39720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42402010320 its reverse (2301020424), we get a palindrome (44703030744).

The spelling of 42402010320 in words is "forty-two billion, four hundred two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1543 3086 4629 6172 7715 9258 12344 13887 15430 18516 23145 24688 27774 30860 37032 38167 46290 55548 61720 69435 74064 76334 92580 111096 114501 123440 138870 152668 185160 190835 222192 229002 277740 305336 343503 370320 381670 458004 555480 572505 610672 687006 763340 916008 1110960 1145010 1374012 1526680 1717515 1832016 2290020 2748024 3053360 3435030 4580040 5496048 6870060 9160080 13740120 27480240 58891681 117783362 176675043 235566724 294458405 353350086 471133448 530025129 588916810 706700172 883375215 942266896 1060050258 1177833620 1413400344 1766750430 2120100516 2355667240 2650125645 2826800688 3533500860 4240201032 4711334480 5300251290 7067001720 8480402064 10600502580 14134003440 21201005160 42402010320