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412020424320 = 27351791198849
BaseRepresentation
bin1011111111011100101…
…01001011111010000000
31110101111102010012020120
411333232111023322000
523222304212034240
6513140215340240
741524151551611
oct5775625137200
91411442105216
10412020424320
1114981187407a
1267a28981680
132cb12aa445b
1415d287b9c08
15aab6d50ad0
hex5fee54be80

412020424320 has 128 divisors (see below), whose sum is σ = 1320653160000. Its totient is φ = 109258211328.

The previous prime is 412020424307. The next prime is 412020424327. The reversal of 412020424320 is 23424020214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (412020424327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255745 + ... + 943104.

Almost surely, 2412020424320 is an apocalyptic number.

412020424320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412020424320 is an abundant number, since it is smaller than the sum of its proper divisors (908632735680).

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

412020424320 is a wasteful number, since it uses less digits than its factorization.

412020424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199050 (or 1199038 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412020424320 its reverse (23424020214), we get a palindrome (435444444534).

The spelling of 412020424320 in words is "four hundred twelve billion, twenty million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 320 358 384 480 537 640 716 895 960 1074 1432 1790 1920 2148 2685 2864 3580 4296 5370 5728 7160 8592 10740 11456 14320 17184 21480 22912 28640 34368 42960 57280 68736 85920 114560 171840 343680 1198849 2397698 3596547 4795396 5994245 7193094 9590792 11988490 14386188 17982735 19181584 23976980 28772376 35965470 38363168 47953960 57544752 71930940 76726336 95907920 115089504 143861880 153452672 191815840 214593971 230179008 287723760 383631680 429187942 460358016 575447520 643781913 767263360 858375884 1072969855 1150895040 1287563826 1716751768 2145939710 2301790080 2575127652 3218909565 3433503536 4291879420 5150255304 6437819130 6867007072 8583758840 10300510608 12875638260 13734014144 17167517680 20601021216 25751276520 27468028288 34335035360 41202042432 51502553040 68670070720 82404084864 103005106080 137340141440 206010212160 412020424320