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235140719004 = 2232193126214231
BaseRepresentation
bin1101101011111101111…
…0101010000110011100
3211110221100202011121200
43122333132222012130
512323032011002004
6300004441355500
722663002063552
oct3327736520634
9743840664550
10235140719004
11907a4895534
12396a4198b90
1319234742529
14b54917bbd2
1561b354e239
hex36bf7aa19c

235140719004 has 144 divisors (see below), whose sum is σ = 646248744960. Its totient is φ = 71815248000.

The previous prime is 235140718997. The next prime is 235140719041. The reversal of 235140719004 is 400917041532.

235140719004 is a `hidden beast` number, since 235 + 1 + 407 + 19 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 235140719004.

It is a congruent number.

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, 55573569 + ... + 55577799.

Almost surely, 2235140719004 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 235140719004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323124372480).

235140719004 is an abundant number, since it is smaller than the sum of its proper divisors (411108025956).

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

235140719004 is a wasteful number, since it uses less digits than its factorization.

235140719004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 235140719004 in words is "two hundred thirty-five billion, one hundred forty million, seven hundred nineteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 2621 3534 4231 5242 5301 7068 7863 8462 10484 10602 12693 15726 16924 21204 23589 25386 31452 38079 47178 49799 50772 76158 80389 81251 94356 99598 131161 149397 152316 160778 162502 199196 241167 243753 262322 298794 321556 325004 393483 448191 482334 487506 524644 597588 723501 731259 786966 896382 964668 975012 1180449 1447002 1462518 1543769 1573932 1792764 2360898 2492059 2894004 2925036 3087538 4631307 4721796 4984118 6175076 7476177 9262614 9968236 11089451 13893921 14952354 18525228 22178902 22428531 27787842 29904708 33268353 44357804 44857062 55575684 66536706 89714124 99805059 133073412 199610118 210699569 343772981 399220236 421399138 632098707 687545962 842798276 1031318943 1264197414 1375091924 1896296121 2062637886 2528394828 3093956829 3792592242 4125275772 6187913658 6531686639 7585184484 12375827316 13063373278 19595059917 26126746556 39190119834 58785179751 78380239668 117570359502 235140719004