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424312041120 = 25351180362129
BaseRepresentation
bin1100010110010101111…
…01111110111010100000
31111120020000222000122020
412023022331332322200
523422442340303440
6522532023341440
742440563561242
oct6131275767240
91446200860566
10424312041120
11153a4a0a3770
126a2992b1880
13310214900a6
1416773028092
15b085ec63d0
hex62caf7eea0

424312041120 has 96 divisors (see below), whose sum is σ = 1458090486720. Its totient is φ = 102863523840.

The previous prime is 424312041103. The next prime is 424312041121. The reversal of 424312041120 is 21140213424.

It is a tau number, because it is divible by the number of its divisors (96).

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 (424312041121) 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, 40175785 + ... + 40186344.

It is an arithmetic number, because the mean of its divisors is an integer number (15188442570).

Almost surely, 2424312041120 is an apocalyptic number.

424312041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424312041120 is an abundant number, since it is smaller than the sum of its proper divisors (1033778445600).

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

424312041120 is a wasteful number, since it uses less digits than its factorization.

424312041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80362158 (or 80362150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 424312041120 its reverse (21140213424), we get a palindrome (445452254544).

The spelling of 424312041120 in words is "four hundred twenty-four billion, three hundred twelve million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 80362129 160724258 241086387 321448516 401810645 482172774 642897032 803621290 883983419 964345548 1205431935 1285794064 1607242580 1767966838 1928691096 2410863870 2571588128 2651950257 3214485160 3535933676 3857382192 4419917095 4821727740 5303900514 6428970320 7071867352 7714764384 8839834190 9643455480 10607801028 12857940640 13259751285 14143734704 17679668380 19286910960 21215602056 26519502570 28287469408 35359336760 38573821920 42431204112 53039005140 70718673520 84862408224 106078010280 141437347040 212156020560 424312041120