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42430233240100 = 2252617878838343
BaseRepresentation
bin10011010010111000011101…
…11110101110001000100100
312120020021211220111221220201
421221130032332232020210
521030134104202140400
6230124102520440244
711636324506540666
oct1151341676561044
9176207756457821
1042430233240100
1112579619567aa2
12491331b319084
131a8a1ccc57244
14a698c452c536
154d8a9394006a
hex26970efae224

42430233240100 has 72 divisors (see below), whose sum is σ = 93701931178688. Its totient is φ = 16672648348800.

The previous prime is 42430233240097. The next prime is 42430233240103. The reversal of 42430233240100 is 104233203424.

42430233240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42430233240097) and next prime (42430233240103).

It is not an unprimeable number, because it can be changed into a prime (42430233240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381529 + ... + 9219871.

Almost surely, 242430233240100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430233240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46850965589344).

42430233240100 is an abundant number, since it is smaller than the sum of its proper divisors (51271697938588).

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

42430233240100 is a wasteful number, since it uses less digits than its factorization.

42430233240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839205 (or 8839198 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42430233240100 its reverse (104233203424), we get a palindrome (42534466443524).

The spelling of 42430233240100 in words is "forty-two trillion, four hundred thirty billion, two hundred thirty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 787 1220 1525 1574 3050 3148 3935 6100 7870 15740 19675 39350 48007 78700 96014 192028 240035 480070 960140 1200175 2400350 4800700 8838343 17676686 35353372 44191715 88383430 176766860 220958575 441917150 539138923 883834300 1078277846 2156555692 2695694615 5391389230 6955775941 10782778460 13478473075 13911551882 26956946150 27823103764 34778879705 53913892300 69557759410 139115518820 173894398525 347788797050 424302332401 695577594100 848604664802 1697209329604 2121511662005 4243023324010 8486046648020 10607558310025 21215116620050 42430233240100