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54356422140 = 2235547237967
BaseRepresentation
bin110010100111111001…
…010010110111111100
312012022012012100100000
4302213321102313330
51342310221002030
640545422434300
73633000651636
oct624771226774
9165265170300
1054356422140
1121063868529
12a64ba32990
1351834857c7
1428b9143a56
151632071860
hexca7e52dfc

54356422140 has 144 divisors (see below), whose sum is σ = 174626629632. Its totient is φ = 14186581056.

The previous prime is 54356422111. The next prime is 54356422157. The reversal of 54356422140 is 4122465345.

54356422140 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 642 + 2 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54356422095 and 54356422104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109437 + ... + 347403.

It is an arithmetic number, because the mean of its divisors is an integer number (1212684928).

Almost surely, 254356422140 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 54356422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87313314816).

54356422140 is an abundant number, since it is smaller than the sum of its proper divisors (120270207492).

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

54356422140 is a wasteful number, since it uses less digits than its factorization.

54356422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238038 (or 238024 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 54356422140 its reverse (4122465345), we get a palindrome (58478887485).

The spelling of 54356422140 in words is "fifty-four billion, three hundred fifty-six million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 243 270 282 324 405 423 470 486 540 564 705 810 846 940 972 1215 1269 1410 1620 1692 2115 2430 2538 2820 3807 4230 4860 5076 6345 7614 8460 11421 12690 15228 19035 22842 25380 38070 45684 57105 76140 114210 228420 237967 475934 713901 951868 1189835 1427802 2141703 2379670 2855604 3569505 4283406 4759340 6425109 7139010 8566812 10708515 11184449 12850218 14278020 19275327 21417030 22368898 25700436 32125545 33553347 38550654 42834060 44737796 55922245 57825981 64251090 67106694 77101308 96376635 100660041 111844490 115651962 128502180 134213388 167766735 192753270 201320082 223688980 231303924 289129905 301980123 335533470 385506540 402640164 503300205 578259810 603960246 671066940 905940369 1006600410 1156519620 1207920492 1509900615 1811880738 2013200820 2717821107 3019801230 3623761476 4529701845 5435642214 6039602460 9059403690 10871284428 13589105535 18118807380 27178211070 54356422140