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155145030012 = 223271744980657
BaseRepresentation
bin1001000001111101011…
…1010100100101111100
3112211110022202010012200
42100133113110211330
510020214111430022
6155134520231500
714131431665520
oct2203727244574
9484408663180
10155145030012
115a884363375
122609990b590
1311826489a0b
14771ac05d80
154080632bac
hex241f5d497c

155145030012 has 144 divisors (see below), whose sum is σ = 475624094400. Its totient is φ = 41626238976.

The previous prime is 155145029947. The next prime is 155145030023. The reversal of 155145030012 is 210030541551.

155145030012 is a `hidden beast` number, since 155 + 1 + 4 + 503 + 0 + 0 + 1 + 2 = 666.

155145030012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1883188 + ... + 1963844.

It is an arithmetic number, because the mean of its divisors is an integer number (3302945100).

Almost surely, 2155145030012 is an apocalyptic number.

155145030012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155145030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237812047200).

155145030012 is an abundant number, since it is smaller than the sum of its proper divisors (320479064388).

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

155145030012 is a wasteful number, since it uses less digits than its factorization.

155145030012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81140 (or 81135 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 155145030012 its reverse (210030541551), we get a palindrome (365175571563).

The spelling of 155145030012 in words is "one hundred fifty-five billion, one hundred forty-five million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 449 476 612 714 898 1071 1347 1428 1796 2142 2694 3143 4041 4284 5388 6286 7633 8082 9429 12572 15266 16164 18858 22899 28287 30532 37716 45798 53431 56574 68697 80657 91596 106862 113148 137394 160293 161314 213724 241971 274788 320586 322628 480879 483942 564599 641172 725913 961758 967884 1129198 1371169 1451826 1693797 1923516 2258396 2742338 2903652 3387594 4113507 5081391 5484676 6775188 8227014 9598183 10162782 12340521 16454028 19196366 20325564 24681042 28794549 36214993 38392732 49362084 57589098 72429986 86383647 108644979 115178196 144859972 172767294 217289958 253504951 325934937 345534588 434579916 507009902 615654881 651869874 760514853 1014019804 1231309762 1303739748 1521029706 1846964643 2281544559 2462619524 3042059412 3693929286 4309584167 4563089118 5540893929 7387858572 8619168334 9126178236 11081787858 12928752501 17238336668 22163575716 25857505002 38786257503 51715010004 77572515006 155145030012