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134341979436 = 2235747420097
BaseRepresentation
bin111110100011101100…
…1111110110100101100
3110211202112010122200000
41331013121332310230
54200113021320221
6141414342504300
712464055661350
oct1750731766454
9424675118600
10134341979436
1151a795aa595
1222052a35090
13c88c601832
146705ddd460
15376413ae26
hex1f4767ed2c

134341979436 has 144 divisors (see below), whose sum is σ = 411037326336. Its totient is φ = 37566664704.

The previous prime is 134341979413. The next prime is 134341979491. The reversal of 134341979436 is 634979143431.

134341979436 is a `hidden beast` number, since 1 + 3 + 434 + 1 + 97 + 94 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109740 + ... + 529836.

Almost surely, 2134341979436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134341979436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205518663168).

134341979436 is an abundant number, since it is smaller than the sum of its proper divisors (276695346900).

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

134341979436 is a wasteful number, since it uses less digits than its factorization.

134341979436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420170 (or 420156 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 134341979436 in words is "one hundred thirty-four billion, three hundred forty-one million, nine hundred seventy-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 243 252 282 324 329 378 423 486 564 567 658 756 846 972 987 1134 1269 1316 1692 1701 1974 2268 2538 2961 3402 3807 3948 5076 5922 6804 7614 8883 11421 11844 15228 17766 22842 26649 35532 45684 53298 79947 106596 159894 319788 420097 840194 1260291 1680388 2520582 2940679 3780873 5041164 5881358 7561746 8822037 11342619 11762716 15123492 17644074 19744559 22685238 26466111 34027857 35288148 39489118 45370476 52932222 59233677 68055714 78978236 79398333 102083571 105864444 118467354 136111428 138211913 158796666 177701031 204167142 236934708 238194999 276423826 317593332 355402062 408334284 414635739 476389998 533103093 552847652 710804124 714584997 829271478 952779996 1066206186 1243907217 1429169994 1599309279 1658542956 2132412372 2487814434 2858339988 3198618558 3731721651 4797927837 4975628868 6397237116 7463443302 9595855674 11195164953 14926886604 19191711348 22390329906 33585494859 44780659812 67170989718 134341979436