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129058607040 = 26351112221459
BaseRepresentation
bin111100000110001111…
…1100000111111000000
3110100010022112112020220
41320030133200333000
54103303000411130
6135142205503040
712216123026316
oct1701437407700
9410108475226
10129058607040
114a808245720
1221019571a80
13c229b4758c
1463644560b6
1535553ac410
hex1e0c7e0fc0

129058607040 has 112 divisors (see below), whose sum is σ = 447012120960. Its totient is φ = 31286932480.

The previous prime is 129058607011. The next prime is 129058607047. The reversal of 129058607040 is 40706850921.

It is a super-2 number, since 2×1290586070402 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 129058606983 and 129058607001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129058607047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6100170 + ... + 6121289.

Almost surely, 2129058607040 is an apocalyptic number.

129058607040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129058607040 is an abundant number, since it is smaller than the sum of its proper divisors (317953513920).

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

129058607040 is a wasteful number, since it uses less digits than its factorization.

129058607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12221490 (or 12221480 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 129058607040 in words is "one hundred twenty-nine billion, fifty-eight million, six hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 12221459 24442918 36664377 48885836 61107295 73328754 97771672 122214590 134436049 146657508 183321885 195543344 244429180 268872098 293315016 366643770 391086688 403308147 488858360 537744196 586630032 672180245 733287540 782173376 806616294 977716720 1075488392 1173260064 1344360490 1466575080 1613232588 1955433440 2016540735 2150976784 2346520128 2688720980 2933150160 3226465176 3910866880 4033081470 4301953568 5377441960 5866300320 6452930352 8066162940 8603907136 10754883920 11732600640 12905860704 16132325880 21509767840 25811721408 32264651760 43019535680 64529303520 129058607040