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129041470440 = 23335992312041
BaseRepresentation
bin111100000101101111…
…0001001001111101000
3110100002010021220021000
41320023132021033220
54103234104023230
6135140354315000
712215524254351
oct1701336111750
9410063256230
10129041470440
114a7a9600743
1221013888a60
13c22642758c
146362074d28
153553b24b60
hex1e0b7893e8

129041470440 has 128 divisors (see below), whose sum is σ = 430217308800. Its totient is φ = 34404733440.

The previous prime is 129041470379. The next prime is 129041470489. The reversal of 129041470440 is 44074140921.

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 = 129041470395 and 129041470404.

It is an unprimeable number.

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, 10710820 + ... + 10722860.

It is an arithmetic number, because the mean of its divisors is an integer number (3361072725).

Almost surely, 2129041470440 is an apocalyptic number.

129041470440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129041470440 is an abundant number, since it is smaller than the sum of its proper divisors (301175838360).

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

129041470440 is a wasteful number, since it uses less digits than its factorization.

129041470440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21984 (or 21974 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 129041470440 in words is "one hundred twenty-nine billion, forty-one million, four hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9923 12041 19846 24082 29769 36123 39692 48164 49615 59538 60205 72246 79384 89307 96328 99230 108369 119076 120410 144492 148845 178614 180615 198460 216738 238152 240820 267921 288984 297690 325107 357228 361230 396920 433476 446535 481640 535842 541845 595380 650214 714456 722460 866952 893070 1071684 1083690 1190760 1300428 1339605 1444920 1625535 1786140 2143368 2167380 2600856 2679210 3251070 3572280 4334760 5358420 6502140 10716840 13004280 119482843 238965686 358448529 477931372 597414215 716897058 955862744 1075345587 1194828430 1433794116 1792242645 2150691174 2389656860 2867588232 3226036761 3584485290 4301382348 4779313720 5376727935 6452073522 7168970580 8602764696 10753455870 12904147044 14337941160 16130183805 21506911740 25808294088 32260367610 43013823480 64520735220 129041470440