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240200402420 = 225114723230213
BaseRepresentation
bin1101111110110100001…
…1110100010111110100
3211221222222102201102202
43133231003310113310
512413412300334140
6302202504124032
723232250506266
oct3375503642764
9757888381382
10240200402420
1192960957580
123a676766618
131985ca69c44
14b8a9137b36
1563ac844915
hex37ed0f45f4

240200402420 has 48 divisors (see below), whose sum is σ = 561985337088. Its totient is φ = 85487180160.

The previous prime is 240200402269. The next prime is 240200402437. The reversal of 240200402420 is 24204002042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240200402392 and 240200402401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11604767 + ... + 11625446.

It is an arithmetic number, because the mean of its divisors is an integer number (11708027856).

Almost surely, 2240200402420 is an apocalyptic number.

240200402420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240200402420 is an abundant number, since it is smaller than the sum of its proper divisors (321784934668).

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

240200402420 is a wasteful number, since it uses less digits than its factorization.

240200402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23230280 (or 23230278 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240200402420 its reverse (24204002042), we get a palindrome (264404404462).

The spelling of 240200402420 in words is "two hundred forty billion, two hundred million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 23230213 46460426 92920852 116151065 232302130 255532343 464604260 511064686 1022129372 1091820011 1277661715 2183640022 2555323430 4367280044 5110646860 5459100055 10918200110 12010020121 21836400220 24020040242 48040080484 60050100605 120100201210 240200402420