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101400436553350 = 252114110144521717
BaseRepresentation
bin10111000011100100100001…
…000000000011011010000110
3111022000210020202202112101011
4113003210201000003122012
5101242321043224201400
6555354414550152434
730233640226345504
oct2703444100033206
9438023222675334
10101400436553350
112a344757a26460
12b45810105271a
13447703531c1bc
141b07b433b9674
15bac9d0e138ba
hex5c3921003686

101400436553350 has 96 divisors (see below), whose sum is σ = 212855840541792. Its totient is φ = 35617372800000.

The previous prime is 101400436553327. The next prime is 101400436553359. The reversal of 101400436553350 is 53355634004101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400436553359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19983309 + ... + 24538408.

It is an arithmetic number, because the mean of its divisors is an integer number (2217248338977).

Almost surely, 2101400436553350 is an apocalyptic number.

101400436553350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101400436553350 is an abundant number, since it is smaller than the sum of its proper divisors (111455403988442).

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

101400436553350 is a wasteful number, since it uses less digits than its factorization.

101400436553350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44521882 (or 44521877 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 101400436553350 in words is "one hundred one trillion, four hundred billion, four hundred thirty-six million, five hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 41 50 55 82 101 110 202 205 275 410 451 505 550 902 1010 1025 1111 2050 2222 2255 2525 4141 4510 5050 5555 8282 11110 11275 20705 22550 27775 41410 45551 55550 91102 103525 207050 227755 455510 1138775 2277550 44521717 89043434 222608585 445217170 489738887 979477774 1113042925 1825390397 2226085850 2448694435 3650780794 4496693417 4897388870 8993386834 9126951985 12243472175 18253903970 20079294367 22483467085 24486944350 40158588734 44966934170 45634759925 49463627587 91269519850 98927255174 100396471835 112417335425 184364430097 200792943670 224834670850 247318137935 368728860194 494636275870 501982359175 921822150485 1003964718350 1236590689675 1843644300970 2028008731067 2473181379350 4056017462134 4609110752425 9218221504850 10140043655335 20280087310670 50700218276675 101400436553350