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42122153532000 = 253533510179461
BaseRepresentation
bin10011001001111010100111…
…11111111001101001100000
312112010211122022012020022110
421210331103333321221200
521010112132301011000
6225330352235235320
711605140142326123
oct1144752377715140
9175124568166273
1042122153532000
111246a9a5601493
12488367bba8b40
131a67143227c89
14a58a1a2d43ba
154d0a61c8d850
hex264f53ff9a60

42122153532000 has 96 divisors (see below), whose sum is σ = 137992175010144. Its totient is φ = 11232574272000.

The previous prime is 42122153531989. The next prime is 42122153532013. The reversal of 42122153532000 is 23535122124.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755077731 + ... + 1755101730.

It is an arithmetic number, because the mean of its divisors is an integer number (1437418489689).

Almost surely, 242122153532000 is an apocalyptic number.

42122153532000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42122153532000 is an abundant number, since it is smaller than the sum of its proper divisors (95870021478144).

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

42122153532000 is a wasteful number, since it uses less digits than its factorization.

42122153532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510179489 (or 3510179471 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42122153532000 its reverse (23535122124), we get a palindrome (42145688654124).

The spelling of 42122153532000 in words is "forty-two trillion, one hundred twenty-two billion, one hundred fifty-three million, five hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3510179461 7020358922 10530538383 14040717844 17550897305 21061076766 28081435688 35101794610 42122153532 52652691915 56162871376 70203589220 84244307064 87754486525 105305383830 112325742752 140407178440 168488614128 175508973050 210610767660 263263459575 280814356880 336977228256 351017946100 421221535320 438772432625 526526919150 561628713760 702035892200 842443070640 877544865250 1053053838300 1316317297875 1404071784400 1684886141280 1755089730500 2106107676600 2632634595750 2808143568800 3510179461000 4212215353200 5265269191500 7020358922000 8424430706400 10530538383000 14040717844000 21061076766000 42122153532000