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30975170040 = 2333579363047
BaseRepresentation
bin11100110110010000…
…111001010111111000
32221221201020200012000
4130312100321113320
51001414120420130
622121345221000
72144410413123
oct346620712770
987851220160
1030975170040
1112155748791
126005631760
132bc841a5a9
1416dbb713ba
15c14553260
hex7364395f8

30975170040 has 128 divisors (see below), whose sum is σ = 104557824000. Its totient is φ = 8155465344.

The previous prime is 30975169963. The next prime is 30975170041. The reversal of 30975170040 is 4007157903.

It is a happy number.

It is a super-2 number, since 2×309751700402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30975169977 and 30975170004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30975170041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96204 + ... + 266843.

It is an arithmetic number, because the mean of its divisors is an integer number (816858000).

Almost surely, 230975170040 is an apocalyptic number.

30975170040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30975170040 is an abundant number, since it is smaller than the sum of its proper divisors (73582653960).

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

30975170040 is a wasteful number, since it uses less digits than its factorization.

30975170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363146 (or 363136 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 30975170040 in words is "thirty billion, nine hundred seventy-five million, one hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 90 108 120 135 158 180 216 237 270 316 360 395 474 540 632 711 790 948 1080 1185 1422 1580 1896 2133 2370 2844 3160 3555 4266 4740 5688 7110 8532 9480 10665 14220 17064 21330 28440 42660 85320 363047 726094 1089141 1452188 1815235 2178282 2904376 3267423 3630470 4356564 5445705 6534846 7260940 8713128 9802269 10891410 13069692 14521880 16337115 19604538 21782820 26139384 28680713 32674230 39209076 43565640 49011345 57361426 65348460 78418152 86042139 98022690 114722852 130696920 143403565 172084278 196045380 229445704 258126417 286807130 344168556 392090760 430210695 516252834 573614260 688337112 774379251 860421390 1032505668 1147228520 1290632085 1548758502 1720842780 2065011336 2581264170 3097517004 3441685560 3871896255 5162528340 6195034008 7743792510 10325056680 15487585020 30975170040