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134638047040 = 2657173535663
BaseRepresentation
bin111110101100100001…
…1011000111101000000
3110212112011020110001211
41331121003120331000
54201214320001130
6141504000335504
712504312342250
oct1753103307500
9425464213054
10134638047040
1152110738562
1222116014594
13c908a53773
14673346b960
15378011ea2a
hex1f590d8f40

134638047040 has 112 divisors (see below), whose sum is σ = 387961339392. Its totient is φ = 43446214656.

The previous prime is 134638047001. The next prime is 134638047041. The reversal of 134638047040 is 40740836431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134638046984 and 134638047002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134638047041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729752 + ... + 1805911.

Almost surely, 2134638047040 is an apocalyptic number.

134638047040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134638047040 is an abundant number, since it is smaller than the sum of its proper divisors (253323292352).

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

134638047040 is a wasteful number, since it uses less digits than its factorization.

134638047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535704 (or 3535694 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 134638047040 in words is "one hundred thirty-four billion, six hundred thirty-eight million, forty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 3535663 7071326 14142652 17678315 24749641 28285304 35356630 49499282 56570608 60106271 70713260 98998564 113141216 120212542 123748205 141426520 197997128 226282432 240425084 247496410 282853040 300531355 395994256 420743897 480850168 494992820 565706080 601062710 791988512 841487794 961700336 989985640 1131412160 1202125420 1583977024 1682975588 1923400672 1979971280 2103719485 2404250840 3365951176 3846801344 3959942560 4207438970 4808501680 6731902352 7919885120 8414877940 9617003360 13463804704 16829755880 19234006720 26927609408 33659511760 67319023520 134638047040