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134313242313432 = 233713411499969203
BaseRepresentation
bin11110100010100000111101…
…000110001100001011011000
3122121120012221210101020110010
4132202200331012030023120
5120101042010013012212
61153354352433521520
740201545232354110
oct3642407506141330
9577505853336403
10134313242313432
1139883a20824186
12130929811132a0
1359c38b8832030
142524b1d244040
15107dbe057b03c
hex7a283d18c2d8

134313242313432 has 128 divisors (see below), whose sum is σ = 423351308136960. Its totient is φ = 34559290414080.

The previous prime is 134313242313409. The next prime is 134313242313487. The reversal of 134313242313432 is 234313242313431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

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, 749895058 + ... + 750074145.

It is an arithmetic number, because the mean of its divisors is an integer number (3307432094820).

Almost surely, 2134313242313432 is an apocalyptic number.

134313242313432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134313242313432 is an abundant number, since it is smaller than the sum of its proper divisors (289038065823528).

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

134313242313432 is a wasteful number, since it uses less digits than its factorization.

134313242313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499969273 (or 1499969269 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

Adding to 134313242313432 its reverse (234313242313431), we get a palindrome (368626484626863).

Subtracting 134313242313432 from its reverse (234313242313431), we obtain a palindrome (99999999999999).

The spelling of 134313242313432 in words is "one hundred thirty-four trillion, three hundred thirteen billion, two hundred forty-two million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 533 546 574 728 861 984 1066 1092 1148 1599 1722 2132 2184 2296 3198 3444 3731 4264 6396 6888 7462 11193 12792 14924 22386 29848 44772 89544 1499969203 2999938406 4499907609 5999876812 8999815218 10499784421 11999753624 17999630436 19499599639 20999568842 31499353263 35999260872 38999199278 41999137684 58498798917 61498737323 62998706526 77998398556 83998275368 116997597834 122997474646 125997413052 136497197473 155996797112 184496211969 233995195668 245994949292 251994826104 272994394946 368992423938 409491592419 430491161261 467990391336 491989898584 545988789892 737984847876 799483585199 818983184838 860982322522 1091977579784 1291473483783 1475969695752 1598967170398 1637966369676 1721964645044 2398450755597 2582946967566 3197934340796 3275932739352 3443929290088 4796901511194 5165893935132 5596385096393 6395868681592 9593803022388 10331787870264 11192770192786 16789155289179 19187606044776 22385540385572 33578310578358 44771080771144 67156621156716 134313242313432