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132124003300040 = 235175871237267587
BaseRepresentation
bin11110000010101010000100…
…010010000111001011001000
3122022210221010221221110111012
4132002222010102013023020
5114304204424321100130
61145000532412023052
736554433653651603
oct3602520422071310
9568727127843435
10132124003300040
113910a525440764
121299a625461a88
13589531750c3bb
14248ab9b92733a
151041cadc04995
hex782a844872c8

132124003300040 has 128 divisors (see below), whose sum is σ = 315558308096640. Its totient is φ = 49615736180736.

The previous prime is 132124003300031. The next prime is 132124003300043. The reversal of 132124003300040 is 40003300421231.

It is a junction number, because it is equal to n+sod(n) for n = 132124003299979 and 132124003300015.

It is not an unprimeable number, because it can be changed into a prime (132124003300043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493627127 + ... + 493894713.

It is an arithmetic number, because the mean of its divisors is an integer number (2465299282005).

Almost surely, 2132124003300040 is an apocalyptic number.

132124003300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132124003300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157779154048320).

132124003300040 is an abundant number, since it is smaller than the sum of its proper divisors (183434304796600).

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

132124003300040 is a wasteful number, since it uses less digits than its factorization.

132124003300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269439 (or 269435 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 132124003300040 its reverse (40003300421231), we get a palindrome (172127303721271).

The spelling of 132124003300040 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 587 680 1174 1237 2348 2474 2935 4696 4948 5870 6185 9896 9979 11740 12370 19958 21029 23480 24740 39916 42058 49480 49895 79832 84116 99790 105145 168232 199580 210290 267587 399160 420580 535174 726119 841160 1070348 1337935 1452238 2140696 2675870 2904476 3630595 4548979 5351740 5808952 7261190 9097958 10703480 12344023 14522380 18195916 22744895 24688046 29044760 36391832 45489790 49376092 61720115 90979580 98752184 123440230 157073569 181959160 246880460 314147138 331005119 493760920 628294276 662010238 785367845 1256588552 1324020476 1570735690 1655025595 2648040952 2670250673 3141471380 3310051190 5340501346 5627087023 6282942760 6620102380 10681002692 11254174046 13240204760 13351253365 21362005384 22508348092 26702506730 28135435115 45016696184 53405013460 56270870230 106810026920 112541740460 194300004853 225083480920 388600009706 777200019412 971500024265 1554400038824 1943000048530 3303100082501 3886000097060 6606200165002 7772000194120 13212400330004 16515500412505 26424800660008 33031000825010 66062001650020 132124003300040