Search a number
-
+
155253312432120 = 23357407345378191
BaseRepresentation
bin100011010011001110111010…
…100010011010011111111000
3202100201001221021121202121010
4203103032322202122133320
5130322132240440311440
61310110215341113520
744462452545520020
oct4323167242323770
9670631837552533
10155253312432120
1145517618471281
12154b51702588a0
13688242b034c66
142a4a42c4a8a80
1512e3765676580
hex8d33ba89a7f8

155253312432120 has 128 divisors (see below), whose sum is σ = 532427772119040. Its totient is φ = 35477758018560.

The previous prime is 155253312432107. The next prime is 155253312432161. The reversal of 155253312432120 is 21234213352551.

155253312432120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1552533124321202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19267776 + ... + 26110415.

It is an arithmetic number, because the mean of its divisors is an integer number (4159591969680).

Almost surely, 2155253312432120 is an apocalyptic number.

155253312432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155253312432120 is an abundant number, since it is smaller than the sum of its proper divisors (377174459686920).

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

155253312432120 is a wasteful number, since it uses less digits than its factorization.

155253312432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45382285 (or 45382281 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 155253312432120 its reverse (21234213352551), we get a palindrome (176487525784671).

The spelling of 155253312432120 in words is "one hundred fifty-five trillion, two hundred fifty-three billion, three hundred twelve million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4073 8146 12219 16292 20365 24438 28511 32584 40730 48876 57022 61095 81460 85533 97752 114044 122190 142555 162920 171066 228088 244380 285110 342132 427665 488760 570220 684264 855330 1140440 1710660 3421320 45378191 90756382 136134573 181512764 226890955 272269146 317647337 363025528 453781910 544538292 635294674 680672865 907563820 952942011 1089076584 1270589348 1361345730 1588236685 1815127640 1905884022 2541178696 2722691460 3176473370 3811768044 4764710055 5445382920 6352946740 7623536088 9529420110 12705893480 19058840220 38117680440 184825371943 369650743886 554476115829 739301487772 924126859715 1108952231658 1293777603601 1478602975544 1848253719430 2217904463316 2587555207202 2772380579145 3696507438860 3881332810803 4435808926632 5175110414404 5544761158290 6468888018005 7393014877720 7762665621606 10350220828808 11089522316580 12937776036010 15525331243212 19406664054015 22179044633160 25875552072020 31050662486424 38813328108030 51751104144040 77626656216060 155253312432120