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42111423003400 = 23522927312658583
BaseRepresentation
bin10011001001100110101000…
…11010001011101100001000
312112002210221110210220100021
421210303110122023230020
521004423143242102100
6225321415354550224
711604310214333152
oct1144632432135410
9175083843726307
1042111423003400
1112466399496533
124881586438374
131a6612309c97a
14a582bd12bad2
154d0634bcca1a
hex264cd468bb08

42111423003400 has 96 divisors (see below), whose sum is σ = 101322358257600. Its totient is φ = 16257760646400.

The previous prime is 42111423003359. The next prime is 42111423003451. The reversal of 42111423003400 is 430032411124.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14510509 + ... + 17169091.

It is an arithmetic number, because the mean of its divisors is an integer number (1055441231850).

Almost surely, 242111423003400 is an apocalyptic number.

42111423003400 is a gapful number since it is divisible by the number (40) 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 42111423003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661179128800).

42111423003400 is an abundant number, since it is smaller than the sum of its proper divisors (59210935254200).

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

42111423003400 is a wasteful number, since it uses less digits than its factorization.

42111423003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661359 (or 2661350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42111423003400 its reverse (430032411124), we get a palindrome (42541455414524).

The spelling of 42111423003400 in words is "forty-two trillion, one hundred eleven billion, four hundred twenty-three million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2731 2900 5462 5800 10924 13655 21848 27310 54620 68275 79199 109240 136550 158398 273100 316796 395995 546200 633592 791990 1583980 1979975 2658583 3167960 3959950 5317166 7919900 10634332 13292915 15839800 21268664 26585830 53171660 66464575 77098907 106343320 132929150 154197814 265858300 308395628 385494535 531716600 616791256 770989070 1541978140 1927472675 3083956280 3854945350 7260590173 7709890700 14521180346 15419781400 29042360692 36302950865 58084721384 72605901730 145211803460 181514754325 210557115017 290423606920 363029508650 421114230034 726059017300 842228460068 1052785575085 1452118034600 1684456920136 2105571150170 4211142300340 5263927875425 8422284600680 10527855750850 21055711501700 42111423003400