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311232414420 = 223351364942227
BaseRepresentation
bin1001000011101101110…
…01011100001011010100
31002202100022200210122000
410201312321130023110
520044400444230140
6354551142435300
731325425605264
oct4416671341324
91082308623560
10311232414420
1110aaa1647524
125039b132b30
132346cc4c485
14110c6c317a4
15816885ba30
hex4876e5c2d4

311232414420 has 96 divisors (see below), whose sum is σ = 968372496000. Its totient is φ = 82987264512.

The previous prime is 311232414419. The next prime is 311232414433. The reversal of 311232414420 is 24414232113.

311232414420 is a `hidden beast` number, since 3 + 1 + 1 + 232 + 4 + 1 + 4 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7349347 + ... + 7391573.

It is an arithmetic number, because the mean of its divisors is an integer number (10087213500).

Almost surely, 2311232414420 is an apocalyptic number.

311232414420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311232414420 is an abundant number, since it is smaller than the sum of its proper divisors (657140081580).

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

311232414420 is a wasteful number, since it uses less digits than its factorization.

311232414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55894 (or 55886 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 311232414420 its reverse (24414232113), we get a palindrome (335646646533).

The spelling of 311232414420 in words is "three hundred eleven billion, two hundred thirty-two million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 13649 27298 40947 42227 54596 68245 81894 84454 122841 126681 136490 163788 168908 204735 211135 245682 253362 272980 368523 380043 409470 422270 491364 506724 614205 633405 737046 760086 818940 844540 1140129 1228410 1266810 1474092 1520172 1842615 1900215 2280258 2456820 2533620 3685230 3800430 4560516 5700645 7370460 7600860 11401290 22802580 576356323 1152712646 1729068969 2305425292 2881781615 3458137938 5187206907 5763563230 6916275876 8645344845 10374413814 11527126460 15561620721 17290689690 20748827628 25936034535 31123241442 34581379380 51872069070 62246482884 77808103605 103744138140 155616207210 311232414420