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129041390106 = 232233718474561
BaseRepresentation
bin111100000101101110…
…1110101101000011010
3110100002010010211001200
41320023131311220122
54103234043440411
6135140352455030
712215523501216
oct1701335655032
9410063124050
10129041390106
114a7a9556352
122101384a476
13c2263c9b45
146362053946
153553b0ae56
hex1e0b775a1a

129041390106 has 96 divisors (see below), whose sum is σ = 299858727168. Its totient is φ = 40001195520.

The previous prime is 129041390081. The next prime is 129041390111. The reversal of 129041390106 is 601093140921.

It is a happy number.

129041390106 is a `hidden beast` number, since 129 + 0 + 41 + 390 + 106 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28290066 + ... + 28294626.

It is an arithmetic number, because the mean of its divisors is an integer number (3123528408).

Almost surely, 2129041390106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129041390106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149929363584).

129041390106 is an abundant number, since it is smaller than the sum of its proper divisors (170817337062).

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

129041390106 is a wasteful number, since it uses less digits than its factorization.

129041390106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 129041390106 in words is "one hundred twenty-nine billion, forty-one million, three hundred ninety thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 1847 2553 3694 4561 5106 5541 7659 9122 11082 13683 15318 16623 27366 33246 41049 42481 68339 82098 84962 104903 127443 136678 168757 205017 209806 254886 314709 337514 382329 410034 506271 615051 629418 764658 944127 1012542 1230102 1518813 1571797 1888254 3037626 3143594 3881411 4715391 7762822 8424167 9430782 11644233 14146173 16848334 23288466 25272501 28292346 34932699 50545002 69865398 75817503 151635006 193755841 311694179 387511682 581267523 623388358 935082537 1162535046 1743802569 1870165074 2805247611 3487605138 5610495222 7168966117 14337932234 21506898351 43013796702 64520695053 129041390106