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41400013300440 = 23352315000004819
BaseRepresentation
bin10010110100111001100010…
…00101100010001011011000
312102120210200002221112120020
421122130301011202023120
520411244211401103230
6224014523100030440
711502023631540414
oct1132346105421330
9172523602845506
1041400013300440
1112211713237163
124787724832420
131a14009b7a502
14a31ab2787d44
154bbd99107810
hex25a7311622d8

41400013300440 has 64 divisors (see below), whose sum is σ = 129600041644800. Its totient is φ = 10560003391872.

The previous prime is 41400013300433. The next prime is 41400013300453. The reversal of 41400013300440 is 4400331000414.

It is a super-2 number, since 2×414000133004402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41400013300440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7499999650 + ... + 7500005169.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000650700).

Almost surely, 241400013300440 is an apocalyptic number.

41400013300440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41400013300440 is an abundant number, since it is smaller than the sum of its proper divisors (88200028344360).

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

41400013300440 is a wasteful number, since it uses less digits than its factorization.

41400013300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000004856 (or 15000004852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41400013300440 its reverse (4400331000414), we get a palindrome (45800344300854).

The spelling of 41400013300440 in words is "forty-one trillion, four hundred billion, thirteen million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 15000004819 30000009638 45000014457 60000019276 75000024095 90000028914 120000038552 150000048190 180000057828 225000072285 300000096380 345000110837 360000115656 450000144570 600000192760 690000221674 900000289140 1035000332511 1380000443348 1725000554185 1800000578280 2070000665022 2760000886696 3450001108370 4140001330044 5175001662555 6900002216740 8280002660088 10350003325110 13800004433480 20700006650220 41400013300440