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29340436140 = 22335392913829
BaseRepresentation
bin11011010100110100…
…111000011010101100
32210201210012120212000
4123110310320122230
5440042122424030
621251231212300
72056040410101
oct332464703254
983653176760
1029340436140
1111496a02a34
12582a077090
1329c7842c22
1415c49d8aa8
15b6ac92860
hex6d4d386ac

29340436140 has 96 divisors (see below), whose sum is σ = 91311192000. Its totient is φ = 7821559296.

The previous prime is 29340436123. The next prime is 29340436183. The reversal of 29340436140 is 4163404392.

It is a happy number.

29340436140 is a `hidden beast` number, since 2 + 9 + 34 + 0 + 4 + 3 + 614 + 0 = 666.

It is a super-2 number, since 2×293404361402 (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 = 29340436095 and 29340436104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2114746 + ... + 2128574.

It is an arithmetic number, because the mean of its divisors is an integer number (951158250).

Almost surely, 229340436140 is an apocalyptic number.

29340436140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29340436140 is an abundant number, since it is smaller than the sum of its proper divisors (61970755860).

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

29340436140 is a wasteful number, since it uses less digits than its factorization.

29340436140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17776 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 29340436140 in words is "twenty-nine billion, three hundred forty million, four hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3929 7858 11787 13829 15716 19645 23574 27658 35361 39290 41487 47148 55316 58935 69145 70722 78580 82974 106083 117870 124461 138290 141444 165948 176805 207435 212166 235740 248922 276580 353610 373383 414870 424332 497844 530415 622305 707220 746766 829740 1060830 1244610 1493532 1866915 2121660 2489220 3733830 7467660 54334141 108668282 163002423 217336564 271670705 326004846 489007269 543341410 652009692 815012115 978014538 1086682820 1467021807 1630024230 1956029076 2445036345 2934043614 3260048460 4890072690 5868087228 7335109035 9780145380 14670218070 29340436140