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153141244300 = 2252114126312911
BaseRepresentation
bin1000111010011111101…
…1011111000110001100
3112122021200021020222001
42032213323133012030
510002113124304200
6154204020202044
714030661045622
oct2164773370614
9478250236861
10153141244300
1159a46270520
122581a839324
13115972b84b5
1475aaa43512
153eb477376a
hex23a7edf18c

153141244300 has 144 divisors (see below), whose sum is σ = 372810138624. Its totient is φ = 54118720000.

The previous prime is 153141244273. The next prime is 153141244303. The reversal of 153141244300 is 3442141351.

It is not an unprimeable number, because it can be changed into a prime (153141244303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11854845 + ... + 11867755.

It is an arithmetic number, because the mean of its divisors is an integer number (2588959296).

Almost surely, 2153141244300 is an apocalyptic number.

153141244300 is a gapful number since it is divisible by the number (10) 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 153141244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186405069312).

153141244300 is an abundant number, since it is smaller than the sum of its proper divisors (219668894324).

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

153141244300 is a wasteful number, since it uses less digits than its factorization.

153141244300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 153141244300 its reverse (3442141351), we get a palindrome (156583385651).

The spelling of 153141244300 in words is "one hundred fifty-three billion, one hundred forty-one million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 263 275 410 451 526 550 820 902 1025 1052 1100 1315 1804 2050 2255 2630 2893 4100 4510 5260 5786 6575 9020 10783 11275 11572 12911 13150 14465 21566 22550 25822 26300 28930 43132 45100 51644 53915 57860 64555 72325 107830 118613 129110 142021 144650 215660 237226 258220 269575 284042 289300 322775 474452 529351 539150 568084 593065 645550 710105 1058702 1078300 1186130 1291100 1420210 2117404 2372260 2646755 2840420 2965325 3395593 3550525 5293510 5822861 5930650 6791186 7101050 10587020 11645722 11861300 13233775 13582372 14202100 16977965 23291444 26467550 29114305 33955930 37351523 52935100 58228610 67911860 74703046 84889825 116457220 139219313 145571525 149406092 169779650 186757615 278438626 291143050 339559300 373515230 556877252 582286100 696096565 747030460 933788075 1392193130 1531412443 1867576150 2784386260 3062824886 3480482825 3735152300 6125649772 6960965650 7657062215 13921931300 15314124430 30628248860 38285311075 76570622150 153141244300