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41132441400 = 23352531293473
BaseRepresentation
bin100110010011101011…
…110011111100111000
310221011120221112001120
4212103223303330320
51133214401111100
630521310545240
72654204661141
oct462353637470
9127146845046
1041132441400
1116498211026
127b7b208220
133b5688152b
141dc2b52ac8
15110b12a0a0
hex993af3f38

41132441400 has 96 divisors (see below), whose sum is σ = 129916528560. Its totient is φ = 10761687040.

The previous prime is 41132441359. The next prime is 41132441401. The reversal of 41132441400 is 414423114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132441401) 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, 614937 + ... + 678536.

Almost surely, 241132441400 is an apocalyptic number.

41132441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41132441400 is an abundant number, since it is smaller than the sum of its proper divisors (88784087160).

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

41132441400 is a wasteful number, since it uses less digits than its factorization.

41132441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293545 (or 1293536 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41132441400 its reverse (414423114), we get a palindrome (41546864514).

The spelling of 41132441400 in words is "forty-one billion, one hundred thirty-two million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 5300 6360 7950 10600 15900 31800 1293473 2586946 3880419 5173892 6467365 7760838 10347784 12934730 15521676 19402095 25869460 31043352 32336825 38804190 51738920 64673650 68554069 77608380 97010475 129347300 137108138 155216760 194020950 205662207 258694600 274216276 342770345 388041900 411324414 548432552 685540690 776083800 822648828 1028311035 1371081380 1645297656 1713851725 2056622070 2742162760 3427703450 4113244140 5141555175 6855406900 8226488280 10283110350 13710813800 20566220700 41132441400