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505201414040 = 23582329175261
BaseRepresentation
bin1110101101000000101…
…10011100111110011000
31210022000100120220220222
413112200112130332120
531234123030222130
61024030351335212
751333235110641
oct7264026347630
91708010526828
10505201414040
11185289033894
1281ab2b21508
133884293a46b
141a647d546c8
15d21c5c2ce5
hex75a059cf98

505201414040 has 64 divisors (see below), whose sum is σ = 1138690906560. Its totient is φ = 201727480320.

The previous prime is 505201414021. The next prime is 505201414043. The reversal of 505201414040 is 40414102505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505201414043) 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, 96025010 + ... + 96030270.

It is an arithmetic number, because the mean of its divisors is an integer number (17792045415).

Almost surely, 2505201414040 is an apocalyptic number.

It is an amenable number.

505201414040 is an abundant number, since it is smaller than the sum of its proper divisors (633489492520).

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

505201414040 is a wasteful number, since it uses less digits than its factorization.

505201414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 505201414040 its reverse (40414102505), we get a palindrome (545615516545).

The spelling of 505201414040 in words is "five hundred five billion, two hundred one million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 823 1646 2917 3292 4115 5261 5834 6584 8230 10522 11668 14585 16460 21044 23336 26305 29170 32920 42088 52610 58340 105220 116680 210440 2400691 4329803 4801382 8659606 9602764 12003455 15346337 17319212 19205528 21649015 24006910 30692674 34638424 43298030 48013820 61385348 76731685 86596060 96027640 122770696 153463370 173192120 306926740 613853480 12630035351 25260070702 50520141404 63150176755 101040282808 126300353510 252600707020 505201414040