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402490005240 = 233543245931721
BaseRepresentation
bin1011101101101100100…
…01100001011011111000
31102110220012221202001010
411312312101201123320
523043244420131430
6504522405353520
741036035411341
oct5666621413370
91373805852033
10402490005240
1114577112a174
12660091088a0
132bc5447b41b
14156a2b710c8
15a70a2eccb0
hex5db64616f8

402490005240 has 128 divisors (see below), whose sum is σ = 1236092140800. Its totient is φ = 104788669440.

The previous prime is 402490005221. The next prime is 402490005289. The reversal of 402490005240 is 42500094204.

It is a Cunningham number, because it is equal to 6344212-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402490005198 and 402490005207.

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, 12672580 + ... + 12704300.

It is an arithmetic number, because the mean of its divisors is an integer number (9656969850).

Almost surely, 2402490005240 is an apocalyptic number.

402490005240 is a gapful number since it is divisible by the number (40) 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 402490005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618046070400).

402490005240 is an abundant number, since it is smaller than the sum of its proper divisors (833602135560).

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

402490005240 is a wasteful number, since it uses less digits than its factorization.

402490005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34237 (or 34233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 402490005240 its reverse (42500094204), we get a palindrome (444990099444).

The spelling of 402490005240 in words is "four hundred two billion, four hundred ninety million, five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2459 2580 4918 5160 7377 9836 12295 14754 19672 24590 29508 31721 36885 49180 59016 63442 73770 95163 98360 105737 126884 147540 158605 190326 211474 253768 295080 317210 317211 380652 422948 475815 528685 634420 634422 761304 845896 951630 1057370 1268840 1268844 1364003 1586055 1903260 2114740 2537688 2728006 3172110 3806520 4092009 4229480 5456012 6344220 6820015 8184018 10912024 12688440 13640030 16368036 20460045 27280060 32736072 40920090 54560120 78001939 81840180 156003878 163680360 234005817 312007756 390009695 468011634 624015512 780019390 936023268 1170029085 1560038780 1872046536 2340058170 3120077560 3354083377 4680116340 6708166754 9360232680 10062250131 13416333508 16770416885 20124500262 26832667016 33540833770 40249000524 50311250655 67081667540 80498001048 100622501310 134163335080 201245002620 402490005240