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41123453400 = 233252181126223
BaseRepresentation
bin100110010011001001…
…100001100111011000
310221010222000212211200
4212103021201213120
51133210101002100
630520350154200
72654035405101
oct462311414730
9127128025750
1041123453400
1116493132227
127b781b2960
133b54a554a3
141dc18933a8
15110a451e00
hex9932619d8

41123453400 has 144 divisors (see below), whose sum is σ = 138870382560. Its totient is φ = 10905580800.

The previous prime is 41123453369. The next prime is 41123453417. The reversal of 41123453400 is 435432114.

It is a happy number.

41123453400 is a `hidden beast` number, since 4 + 1 + 123 + 4 + 534 + 0 + 0 = 666.

It is a super-2 number, since 2×411234534002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262689 + ... + 388911.

Almost surely, 241123453400 is an apocalyptic number.

41123453400 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 41123453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69435191280).

41123453400 is an abundant number, since it is smaller than the sum of its proper divisors (97746929160).

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

41123453400 is a wasteful number, since it uses less digits than its factorization.

41123453400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126426 (or 126414 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41123453400 its reverse (435432114), we get a palindrome (41558885514).

The spelling of 41123453400 in words is "forty-one billion, one hundred twenty-three million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 181 200 225 300 360 362 450 543 600 724 900 905 1086 1448 1629 1800 1810 2172 2715 3258 3620 4344 4525 5430 6516 7240 8145 9050 10860 13032 13575 16290 18100 21720 27150 32580 36200 40725 54300 65160 81450 108600 126223 162900 252446 325800 378669 504892 631115 757338 1009784 1136007 1262230 1514676 1893345 2272014 2524460 3029352 3155575 3786690 4544028 5048920 5680035 6311150 7573380 9088056 9466725 11360070 12622300 15146760 18933450 22720140 22846363 25244600 28400175 37866900 45440280 45692726 56800350 68539089 75733800 91385452 113600700 114231815 137078178 182770904 205617267 227201400 228463630 274156356 342695445 411234534 456927260 548312712 571159075 685390890 822469068 913854520 1028086335 1142318150 1370781780 1644938136 1713477225 2056172670 2284636300 2741563560 3426954450 4112345340 4569272600 5140431675 6853908900 8224690680 10280863350 13707817800 20561726700 41123453400