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420120411040 = 25511493148409
BaseRepresentation
bin1100001110100010010…
…00001011101110100000
31111011101220200011010201
412013101020023232200
523340401311123130
6521000050234544
742231655400341
oct6072110135640
91434356604121
10420120411040
11152199023a80
1269509585a54
1330803c54cc5
14164964700c8
15addceebbca
hex61d120bba0

420120411040 has 96 divisors (see below), whose sum is σ = 1083006832320. Its totient is φ = 152736921600.

The previous prime is 420120410987. The next prime is 420120411049. The reversal of 420120411040 is 40114021024.

It is a junction number, because it is equal to n+sod(n) for n = 420120410999 and 420120411017.

It is not an unprimeable number, because it can be changed into a prime (420120411049) 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, 8654356 + ... + 8702764.

It is an arithmetic number, because the mean of its divisors is an integer number (11281321170).

Almost surely, 2420120411040 is an apocalyptic number.

420120411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420120411040 is an abundant number, since it is smaller than the sum of its proper divisors (662886421280).

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

420120411040 is a wasteful number, since it uses less digits than its factorization.

420120411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53366 (or 53358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 420120411040 its reverse (40114021024), we get a palindrome (460234432064).

The spelling of 420120411040 in words is "four hundred twenty billion, one hundred twenty million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4931 9862 19724 24655 39448 48409 49310 54241 78896 96818 98620 108482 157792 193636 197240 216964 242045 271205 387272 394480 433928 484090 532499 542410 774544 788960 867856 968180 1064998 1084820 1549088 1735712 1936360 2129996 2169640 2662495 3872720 4259992 4339280 5324990 7745440 8519984 8678560 10649980 17039968 21299960 42599920 85199840 238704779 477409558 954819116 1193523895 1909638232 2387047790 2625752569 3819276464 4774095580 5251505138 7638552928 9548191160 10503010276 13128762845 19096382320 21006020552 26257525690 38192764640 42012041104 52515051380 84024082208 105030102760 210060205520 420120411040