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146228672040 = 233511110779297
BaseRepresentation
bin1000100000101111101…
…0000111011000101000
3111222102221001012111020
42020023322013120220
54343434020001130
6151102043532440
713364453130003
oct2101372073050
9458387035436
10146228672040
1157019300690
122440b82a120
1310a35143759
14711296453a
153c0c978e10
hex220be87628

146228672040 has 64 divisors (see below), whose sum is σ = 478566567360. Its totient is φ = 35449374720.

The previous prime is 146228672039. The next prime is 146228672053. The reversal of 146228672040 is 40276822641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 146228671983 and 146228672001.

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, 55388329 + ... + 55390968.

It is an arithmetic number, because the mean of its divisors is an integer number (7477602615).

Almost surely, 2146228672040 is an apocalyptic number.

146228672040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146228672040 is an abundant number, since it is smaller than the sum of its proper divisors (332337895320).

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

146228672040 is a wasteful number, since it uses less digits than its factorization.

146228672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110779322 (or 110779318 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 146228672040 in words is "one hundred forty-six billion, two hundred twenty-eight million, six hundred seventy-two thousand, 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 110779297 221558594 332337891 443117188 553896485 664675782 886234376 1107792970 1218572267 1329351564 1661689455 2215585940 2437144534 2658703128 3323378910 3655716801 4431171880 4874289068 6092861335 6646757820 7311433602 9748578136 12185722670 13293515640 14622867204 18278584005 24371445340 29245734408 36557168010 48742890680 73114336020 146228672040