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145040453666130 = 235117574679124087
BaseRepresentation
bin100000111110100111011100…
…101110000000010101010010
3201000112201202121001211110010
4200332213130232000111102
5123002320322114304010
61232250355314015350
742356553436400631
oct4076473456002522
9630481677054403
10145040453666130
114223a346996930
121432598a577556
1362c13438387c9
1427b5dd15b5518
1511b7c7d459620
hex83e9dcb80552

145040453666130 has 128 divisors (see below), whose sum is σ = 380328250798080. Its totient is φ = 35107086147840.

The previous prime is 145040453666123. The next prime is 145040453666231. The reversal of 145040453666130 is 31666354040541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145040453666130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168798947 + ... + 1168923033.

It is an arithmetic number, because the mean of its divisors is an integer number (2971314459360).

Almost surely, 2145040453666130 is an apocalyptic number.

145040453666130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145040453666130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190164125399040).

145040453666130 is an abundant number, since it is smaller than the sum of its proper divisors (235287797131950).

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

145040453666130 is a wasteful number, since it uses less digits than its factorization.

145040453666130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129544.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 145040453666130 in words is "one hundred forty-five trillion, forty billion, four hundred fifty-three million, six hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 757 1514 2271 3785 4542 4679 7570 8327 9358 11355 14037 16654 22710 23395 24981 28074 41635 46790 49962 51469 70185 83270 102938 124087 124905 140370 154407 248174 249810 257345 308814 372261 514690 620435 744522 772035 1240870 1364957 1544070 1861305 2729914 3542003 3722610 4094871 6824785 7084006 8189742 10626009 13649570 17710015 20474355 21252018 35420030 38962033 40948710 53130045 77924066 93933859 106260090 116886099 187867718 194810165 233772198 281801577 389620330 469669295 563603154 580603073 584430495 939338590 1033272449 1161206146 1168860990 1409007885 1741809219 2066544898 2818015770 2903015365 3099817347 3483618438 5166362245 5806030730 6199634694 6386633803 8709046095 10332724490 12773267606 15499086735 17418092190 19159901409 30998173470 31933169015 38319802818 63866338030 95799507045 191599014090 439516526261 879033052522 1318549578783 2197582631305 2637099157566 4395165262610 4834681788871 6592747893915 9669363577742 13185495787830 14504045366613 24173408944355 29008090733226 48346817888710 72520226833065 145040453666130