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41230403134240 = 2554121069143401
BaseRepresentation
bin10010101111111101100111…
…00010000110001100100000
312101222120212200111100212211
421113332303202012030200
520401004331200243430
6223404552525331504
711453540553113065
oct1127766342061440
9171876780440784
1041230403134240
1112156796770991
12475a88a706b94
131a01019915618
14a277c27cac6c
154b776db1372a
hex257fb3886320

41230403134240 has 144 divisors (see below), whose sum is σ = 99934642541160. Its totient is φ = 16074749952000.

The previous prime is 41230403134169. The next prime is 41230403134243. The reversal of 41230403134240 is 4243130403214.

It can be written as a sum of positive squares in 12 ways, for example, as 9329241744 + 41221073892496 = 96588^2 + 6420364^2 .

It is a super-2 number, since 2×412304031342402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41230403134243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287446540 + ... + 287589940.

Almost surely, 241230403134240 is an apocalyptic number.

41230403134240 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 41230403134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49967321270580).

41230403134240 is an abundant number, since it is smaller than the sum of its proper divisors (58704239406920).

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

41230403134240 is a wasteful number, since it uses less digits than its factorization.

41230403134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144567 (or 144518 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 41230403134240 its reverse (4243130403214), we get a palindrome (45473533537454).

The spelling of 41230403134240 in words is "forty-one trillion, two hundred thirty billion, four hundred three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1069 1312 1640 1681 2138 3280 3362 4276 5345 6560 6724 8405 8552 10690 13448 16810 17104 21380 26896 33620 34208 42760 43829 53792 67240 85520 87658 134480 143401 171040 175316 219145 268960 286802 350632 438290 573604 701264 717005 876580 1147208 1402528 1434010 1753160 1796989 2294416 2868020 3506320 3593978 4588832 5736040 5879441 7012640 7187956 8984945 11472080 11758882 14375912 17969890 22944160 23517764 28751824 29397205 35939780 47035528 57503648 58794410 71879560 94071056 117588820 143759120 153295669 188142112 235177640 241057081 287518240 306591338 470355280 482114162 613182676 766478345 940710560 964228324 1205285405 1226365352 1532956690 1928456648 2410570810 2452730704 3065913380 3856913296 4821141620 4905461408 6131826760 6285122429 7713826592 9642283240 12263653520 12570244858 19284566480 24527307040 25140489716 31425612145 38569132960 50280979432 62851224290 100561958864 125702448580 201123917728 251404897160 257690019589 502809794320 515380039178 1005619588640 1030760078356 1288450097945 2061520156712 2576900195890 4123040313424 5153800391780 8246080626848 10307600783560 20615201567120 41230403134240