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145211634220128 = 2537216088741399
BaseRepresentation
bin100001000001000110110111…
…110111111111110001100000
3201001011002121110110222012120
4201001012313313333301200
5123013121411330021003
61232501145343224240
742405123444163320
oct4101066767776140
9631132543428176
10145211634220128
11422a59a9948763
1214352ba25a8080
136304524238b48
1427c03cdd59280
1511bc44b74d853
hex8411b7dffc60

145211634220128 has 48 divisors (see below), whose sum is σ = 435634902662400. Its totient is φ = 41489038348416.

The previous prime is 145211634220117. The next prime is 145211634220189. The reversal of 145211634220128 is 821022436112541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145211634220128.

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, 108044370028 + ... + 108044371371.

It is an arithmetic number, because the mean of its divisors is an integer number (9075727138800).

Almost surely, 2145211634220128 is an apocalyptic number.

It is an amenable number.

145211634220128 is an abundant number, since it is smaller than the sum of its proper divisors (290423268442272).

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

145211634220128 is a wasteful number, since it uses less digits than its factorization.

145211634220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216088741419 (or 216088741411 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 145211634220128 in words is "one hundred forty-five trillion, two hundred eleven billion, six hundred thirty-four million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 216088741399 432177482798 648266224197 864354965596 1296532448394 1512621189793 1728709931192 2593064896788 3025242379586 3457419862384 4537863569379 5186129793576 6050484759172 6914839724768 9075727138758 10372259587152 12100969518344 18151454277516 20744519174304 24201939036688 36302908555032 48403878073376 72605817110064 145211634220128