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2434212440240 = 245714563298483
BaseRepresentation
bin100011011011000010010…
…111100010100010110000
322121201010110011021000012
4203123002113202202300
5304340231341041430
65102132312314052
7340603024230560
oct43330227424260
98551113137005
102434212440240
1185938650a989
123339249a2928
13148711baa999
1485b60710da0
15434bd23a695
hex236c25e28b0

2434212440240 has 80 divisors (see below), whose sum is σ = 6468516012288. Its totient is φ = 834527017728.

The previous prime is 2434212440239. The next prime is 2434212440269. The reversal of 2434212440240 is 420442124342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×24342124402403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434212440197 and 2434212440206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8006039 + ... + 8304521.

Almost surely, 22434212440240 is an apocalyptic number.

2434212440240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434212440240 is an abundant number, since it is smaller than the sum of its proper divisors (4034303572048).

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

2434212440240 is a wasteful number, since it uses less digits than its factorization.

2434212440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313066 (or 313060 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2434212440240 its reverse (420442124342), we get a palindrome (2854654564582).

The spelling of 2434212440240 in words is "two trillion, four hundred thirty-four billion, two hundred twelve million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 14563 29126 58252 72815 101941 116504 145630 203882 233008 291260 298483 407764 509705 582520 596966 815528 1019410 1165040 1193932 1492415 1631056 2038820 2089381 2387864 2984830 4077640 4178762 4775728 5969660 8155280 8357524 10446905 11939320 16715048 20893810 23878640 33430096 41787620 83575240 167150480 4346807929 8693615858 17387231716 21734039645 30427655503 34774463432 43468079290 60855311006 69548926864 86936158580 121710622012 152138277515 173872317160 243421244024 304276555030 347744634320 486842488048 608553110060 1217106220120 2434212440240