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334131140404020 = 22357970491801773
BaseRepresentation
bin100101111111000111111011…
…1111011101010001100110100
31121211001121212200010211010010
41023332033313323222030310
5322243401033420412040
63142345420555300220
7130244115100213011
oct11376176773521464
91554047780124103
10334131140404020
1197512247a82733
1231584a2aa4a670
131145957b87069b
145c72067c46708
1528967b761de80
hex12fe3f7eea334

334131140404020 has 48 divisors (see below), whose sum is σ = 947409815842560. Its totient is φ = 87973768611456.

The previous prime is 334131140403989. The next prime is 334131140404051. The reversal of 334131140404020 is 20404041131433.

It is an interprime number because it is at equal distance from previous prime (334131140403989) and next prime (334131140404051).

It is a super-2 number, since 2×3341311404040202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35245896147 + ... + 35245905626.

It is an arithmetic number, because the mean of its divisors is an integer number (19737704496720).

Almost surely, 2334131140404020 is an apocalyptic number.

334131140404020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334131140404020 is an abundant number, since it is smaller than the sum of its proper divisors (613278675438540).

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

334131140404020 is a wasteful number, since it uses less digits than its factorization.

334131140404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70491801864 (or 70491801862 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 334131140404020 its reverse (20404041131433), we get a palindrome (354535181535453).

The spelling of 334131140404020 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, one hundred forty million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 70491801773 140983603546 211475405319 281967207092 352459008865 422950810638 704918017730 845901621276 1057377026595 1409836035460 2114754053190 4229508106380 5568852340067 11137704680134 16706557020201 22275409360268 27844261700335 33413114040402 55688523400670 66826228080804 83532785101005 111377046801340 167065570202010 334131140404020