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424412341040 = 24523234728901
BaseRepresentation
bin1100010110100001111…
…00100110001100110000
31111120111000200210021002
412023100330212030300
523423144024403130
6522550005221132
742443222242652
oct6132074461460
91446430623232
10424412341040
11153aa077a566
126a306a017a8
13310391aa25c
14167824966d2
15b08ebd9b45
hex62d0f26330

424412341040 has 120 divisors (see below), whose sum is σ = 1034535066768. Its totient is φ = 161910284800.

The previous prime is 424412341013. The next prime is 424412341121. The reversal of 424412341040 is 40143214424.

It is a junction number, because it is equal to n+sod(n) for n = 424412340994 and 424412341012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14670590 + ... + 14699490.

Almost surely, 2424412341040 is an apocalyptic number.

424412341040 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 424412341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517267533384).

424412341040 is an abundant number, since it is smaller than the sum of its proper divisors (610122725728).

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

424412341040 is a wasteful number, since it uses less digits than its factorization.

424412341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29307 (or 29278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 424412341040 its reverse (40143214424), we get a palindrome (464555555464).

The spelling of 424412341040 in words is "four hundred twenty-four billion, four hundred twelve million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 347 368 460 529 694 920 1058 1388 1735 1840 2116 2645 2776 3470 4232 5290 5552 6940 7981 8464 10580 13880 15962 21160 27760 28901 31924 39905 42320 57802 63848 79810 115604 127696 144505 159620 183563 231208 289010 319240 367126 462416 578020 638480 664723 734252 917815 1156040 1329446 1468504 1835630 2312080 2658892 2937008 3323615 3671260 5317784 6647230 7342520 10028647 10635568 13294460 14685040 15288629 20057294 26588920 30577258 40114588 50143235 53177840 61154516 76443145 80229176 100286470 122309032 152886290 160458352 200572940 230658881 244618064 305772580 401145880 461317762 611545160 802291760 922635524 1153294405 1223090320 1845271048 2306588810 3690542096 4613177620 5305154263 9226355240 10610308526 18452710480 21220617052 26525771315 42441234104 53051542630 84882468208 106103085260 212206170520 424412341040