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242120411452520 = 235281311367188729
BaseRepresentation
bin110111000011010100001101…
…000111100001010001101000
31011202021111002202210111002122
4313003110031013201101220
5223213400100312440040
62214540325334050412
7101666423335343006
oct6703241507412150
91152244082714078
10242120411452520
1170168765220727
12231a4683aa9a08
13a513b1a5c63a3
1443b09947dba76
151ced192e161b5
hexdc350d1e1468

242120411452520 has 128 divisors (see below), whose sum is σ = 549964896998400. Its totient is φ = 95930593382400.

The previous prime is 242120411452457. The next prime is 242120411452559. The reversal of 242120411452520 is 25254114021242.

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, 1282805516 + ... + 1282994244.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600757800).

Almost surely, 2242120411452520 is an apocalyptic number.

242120411452520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242120411452520 is an abundant number, since it is smaller than the sum of its proper divisors (307844485545880).

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

242120411452520 is a wasteful number, since it uses less digits than its factorization.

242120411452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189699 (or 189695 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 242120411452520 its reverse (25254114021242), we get a palindrome (267374525473762).

The spelling of 242120411452520 in words is "two hundred forty-two trillion, one hundred twenty billion, four hundred eleven million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 311 367 562 622 734 1124 1244 1405 1468 1555 1835 2248 2488 2810 2936 3110 3670 5620 6220 7340 11240 12440 14680 87391 103127 114137 174782 188729 206254 228274 349564 377458 412508 436955 456548 515635 570685 699128 754916 825016 873910 913096 943645 1031270 1141370 1509832 1747820 1887290 2062540 2282740 3495640 3774580 4125080 4565480 7549160 32072497 53032849 58694719 64144994 69263543 106065698 117389438 128289988 138527086 160362485 212131396 234778876 256579976 265164245 277054172 293473595 320724970 346317715 424262792 469557752 530328490 554108344 586947190 641449940 692635430 1060656980 1173894380 1282899880 1385270860 2121313960 2347788760 2770541720 16493216039 19463055583 21540961873 32986432078 38926111166 43081923746 65972864156 77852222332 82466080195 86163847492 97315277915 107704809365 131945728312 155704444664 164932160390 172327694984 194630555830 215409618730 329864320780 389261111660 430819237460 659728641560 778522223320 861638474920 6053010286313 12106020572626 24212041145252 30265051431565 48424082290504 60530102863130 121060205726260 242120411452520