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121142956440 = 23351191774967
BaseRepresentation
bin111000011010010101…
…1101101000110011000
3102120200122211210222110
41300310223231012120
53441100044101230
6131352521552320
711516015065632
oct1606453550630
9376618753873
10121142956440
114741604a220
121b58a6456a0
13b567c2845c
145c13067a52
1532404c44b0
hex1c34aed198

121142956440 has 64 divisors (see below), whose sum is σ = 396467861760. Its totient is φ = 29367989120.

The previous prime is 121142956397. The next prime is 121142956457. The reversal of 121142956440 is 44659241121.

It is a super-3 number, since 3×1211429564403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45886164 + ... + 45888803.

It is an arithmetic number, because the mean of its divisors is an integer number (6194810340).

Almost surely, 2121142956440 is an apocalyptic number.

121142956440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121142956440 is an abundant number, since it is smaller than the sum of its proper divisors (275324905320).

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

121142956440 is a wasteful number, since it uses less digits than its factorization.

121142956440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91774992 (or 91774988 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 121142956440 in words is "one hundred twenty-one billion, one hundred forty-two million, nine hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 91774967 183549934 275324901 367099868 458874835 550649802 734199736 917749670 1009524637 1101299604 1376624505 1835499340 2019049274 2202599208 2753249010 3028573911 3670998680 4038098548 5047623185 5506498020 6057147822 8076197096 10095246370 11012996040 12114295644 15142869555 20190492740 24228591288 30285739110 40380985480 60571478220 121142956440