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351130500244240 = 245237126471015403
BaseRepresentation
bin100111111010110011111000…
…0101111001010001100010000
31201001020202012021202120012021
41033311213300233022030100
5332010410231030303430
63242443042553141224
7133650225061556503
oct11765476057121420
91631222167676167
10351130500244240
11a1976677486522
123346b53a0ba814
13120c0605807452
14629cb4216d13a
152a8da9b95e07a
hex13f59f0bca310

351130500244240 has 160 divisors (see below), whose sum is σ = 864198549467136. Its totient is φ = 132403221941760.

The previous prime is 351130500244163. The next prime is 351130500244273. The reversal of 351130500244240 is 42442005031153.

It is a junction number, because it is equal to n+sod(n) for n = 351130500244196 and 351130500244205.

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, 345296379 + ... + 346311781.

Almost surely, 2351130500244240 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 351130500244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432099274733568).

351130500244240 is an abundant number, since it is smaller than the sum of its proper divisors (513068049222896).

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

351130500244240 is a wasteful number, since it uses less digits than its factorization.

351130500244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018157 (or 1018151 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 351130500244240 its reverse (42442005031153), we get a palindrome (393572505275393).

The spelling of 351130500244240 in words is "three hundred fifty-one trillion, one hundred thirty billion, five hundred million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 71 80 92 115 142 184 230 284 355 368 460 568 710 920 1136 1420 1633 1840 2647 2840 3266 5294 5680 6532 8165 10588 13064 13235 16330 21176 26128 26470 32660 42352 52940 60881 65320 105880 121762 130640 187937 211760 243524 304405 375874 487048 608810 751748 939685 974096 1015403 1217620 1503496 1879370 2030806 2435240 3006992 3758740 4061612 4322551 4870480 5077015 7517480 8123224 8645102 10154030 15034960 16246448 17290204 20308060 21612755 23354269 34580408 40616120 43225510 46708538 69160816 72093613 81232240 86451020 93417076 116771345 144187226 172902040 186834152 233542690 288374452 345804080 360468065 373668304 467085380 576748904 720936130 934170760 1153497808 1441872260 1658153099 1868341520 2687771741 2883744520 3316306198 5375543482 5767489040 6632612396 8290765495 10751086964 13265224792 13438858705 16581530990 21502173928 26530449584 26877717410 33163061980 43004347856 53755434820 61818750043 66326123960 107510869640 123637500086 132652247920 190831793611 215021739280 247275000172 309093750215 381663587222 494550000344 618187500430 763327174444 954158968055 989100000688 1236375000860 1526654348888 1908317936110 2472750001720 3053308697776 3816635872220 4389131253053 4945500003440 7633271744440 8778262506106 15266543488880 17556525012212 21945656265265 35113050024424 43891312530530 70226100048848 87782625061060 175565250122120 351130500244240