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403345113240 = 233547181395111
BaseRepresentation
bin1011101111010010011…
…11100000000010011000
31102120002210222201200210
411313221033200002120
523102022322110430
6505143313331120
741066160615516
oct5675117400230
91376083881623
10403345113240
1114606a88a4a3
1266207566aa0
132c05c6876a4
14157445634b6
15a75a40d2b0
hex5de93e0098

403345113240 has 128 divisors (see below), whose sum is σ = 1242611435520. Its totient is φ = 104688345600.

The previous prime is 403345113221. The next prime is 403345113257. The reversal of 403345113240 is 42311543304.

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 = 403345113198 and 403345113207.

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, 823285 + ... + 1218395.

It is an arithmetic number, because the mean of its divisors is an integer number (9707901840).

Almost surely, 2403345113240 is an apocalyptic number.

403345113240 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 403345113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621305717760).

403345113240 is an abundant number, since it is smaller than the sum of its proper divisors (839266322280).

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

403345113240 is a wasteful number, since it uses less digits than its factorization.

403345113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395353 (or 395349 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 403345113240 its reverse (42311543304), we get a palindrome (445656656544).

The spelling of 403345113240 in words is "four hundred three billion, three hundred forty-five million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 181 188 235 282 362 376 470 543 564 705 724 905 940 1086 1128 1410 1448 1810 1880 2172 2715 2820 3620 4344 5430 5640 7240 8507 10860 17014 21720 25521 34028 42535 51042 68056 85070 102084 127605 170140 204168 255210 340280 395111 510420 790222 1020840 1185333 1580444 1975555 2370666 3160888 3951110 4741332 5926665 7902220 9482664 11853330 15804440 18570217 23706660 37140434 47413320 55710651 71515091 74280868 92851085 111421302 143030182 148561736 185702170 214545273 222842604 278553255 286060364 357575455 371404340 429090546 445685208 557106510 572120728 715150910 742808680 858181092 1072726365 1114213020 1430301820 1716362184 2145452730 2228426040 2860603640 3361209277 4290905460 6722418554 8581810920 10083627831 13444837108 16806046385 20167255662 26889674216 33612092770 40334511324 50418139155 67224185540 80669022648 100836278310 134448371080 201672556620 403345113240