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41258288340 = 223251912063827
BaseRepresentation
bin100110011011001011…
…111000010011010100
310221111100202012121100
4212123023320103110
51133444110211330
630542004150100
72660263443633
oct463313702324
9127440665540
1041258288340
1116552256765
127bb5398330
133b76974889
141dd575151a
1511171d8060
hex99b2f84d4

41258288340 has 72 divisors (see below), whose sum is σ = 131737001760. Its totient is φ = 10423145664.

The previous prime is 41258288333. The next prime is 41258288387. The reversal of 41258288340 is 4388285214.

41258288340 is a `hidden beast` number, since 4 + 1 + 25 + 8 + 288 + 340 = 666.

41258288340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6028494 + ... + 6035333.

It is an arithmetic number, because the mean of its divisors is an integer number (1829680580).

Almost surely, 241258288340 is an apocalyptic number.

It is an amenable number.

41258288340 is an abundant number, since it is smaller than the sum of its proper divisors (90478713420).

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

41258288340 is a wasteful number, since it uses less digits than its factorization.

41258288340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063861 (or 12063856 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 41258288340 in words is "forty-one billion, two hundred fifty-eight million, two hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 12063827 24127654 36191481 48255308 60319135 72382962 108574443 120638270 144765924 180957405 217148886 229212713 241276540 361914810 434297772 458425426 542872215 687638139 723829620 916850852 1085744430 1146063565 1375276278 2062914417 2171488860 2292127130 2750552556 3438190695 4125828834 4584254260 6876381390 8251657668 10314572085 13752762780 20629144170 41258288340