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145122352000314 = 231319157041170773
BaseRepresentation
bin100000111111110011101110…
…001111010110110100111010
3201000211120011020020021101120
4200333303232033112310322
5123010141034103002224
61232352142123330110
742365513111633343
oct4077635617266472
9630746136207346
10145122352000314
1142271053410537
1214339826080936
1362c8c9603cb90
1427b9d605030ca
1511b9e73407779
hex83fcee3d6d3a

145122352000314 has 64 divisors (see below), whose sum is σ = 314215066626048. Its totient is φ = 44418207052800.

The previous prime is 145122352000313. The next prime is 145122352000337. The reversal of 145122352000314 is 413000253221541.

It is not an unprimeable number, because it can be changed into a prime (145122352000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849711432 + ... + 849882204.

It is an arithmetic number, because the mean of its divisors is an integer number (4909610416032).

Almost surely, 2145122352000314 is an apocalyptic number.

145122352000314 is an abundant number, since it is smaller than the sum of its proper divisors (169092714625734).

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

145122352000314 is a wasteful number, since it uses less digits than its factorization.

145122352000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228023.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 145122352000314 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 191 382 573 1146 2483 4966 7449 14898 57041 114082 170773 171123 341546 342246 512319 741533 1024638 1483066 2220049 2224599 4440098 4449198 6660147 10894831 13320294 21789662 32617643 32684493 65235286 65368986 97852929 141632803 195705858 283265606 424029359 424898409 848058718 849796818 1272088077 2544176154 9741062693 19482125386 29223188079 58446376158 126633815009 253267630018 379901445027 759802890054 1860542974363 3721085948726 5581628923089 11163257846178 24187058666719 48374117333438 72561176000157 145122352000314