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4020331442144 = 251716231455321
BaseRepresentation
bin111010100000001110011…
…011010110111111100000
3112020100011210212222022212
4322200032123112333200
51011332114322122034
612314525331221252
7563313363262463
oct72401633267740
915210153788285
104020331442144
111310016320016
1254b200a47828
1323216705c684
14dc8296612da
156e8a0d962ce
hex3a80e6d6fe0

4020331442144 has 48 divisors (see below), whose sum is σ = 8381152122336. Its totient is φ = 1891799961600.

The previous prime is 4020331442131. The next prime is 4020331442219. The reversal of 4020331442144 is 4412441330204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4020331442144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8602004 + ... + 9057324.

It is an arithmetic number, because the mean of its divisors is an integer number (174607335882).

Almost surely, 24020331442144 is an apocalyptic number.

It is an amenable number.

4020331442144 is an abundant number, since it is smaller than the sum of its proper divisors (4360820680192).

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

4020331442144 is a wasteful number, since it uses less digits than its factorization.

4020331442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471579 (or 471571 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4020331442144 its reverse (4412441330204), we get a palindrome (8432772772348).

The spelling of 4020331442144 in words is "four trillion, twenty billion, three hundred thirty-one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 16231 32462 64924 129848 259696 275927 455321 519392 551854 910642 1103708 1821284 2207416 3642568 4414832 7285136 7740457 8829664 14570272 15480914 30961828 61923656 123847312 247694624 7390315151 14780630302 29561260604 59122521208 118245042416 125635357567 236490084832 251270715134 502541430268 1005082860536 2010165721072 4020331442144