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54054132240 = 2435475938081
BaseRepresentation
bin110010010101111000…
…001001101000010000
312011112010101102112210
4302111320021220100
51341200324212430
640455423352120
73622340354163
oct622570115020
9164463342483
1054054132240
1120a1916a669
12a586752640
135135965644
14288ad35ada
15161575e2b0
hexc95e09a10

54054132240 has 160 divisors (see below), whose sum is σ = 171442884096. Its totient is φ = 14082211840.

The previous prime is 54054132233. The next prime is 54054132257. The reversal of 54054132240 is 4223145045.

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 = 54054132198 and 54054132207.

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, 6685000 + ... + 6693080.

Almost surely, 254054132240 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 54054132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85721442048).

54054132240 is an abundant number, since it is smaller than the sum of its proper divisors (117388751856).

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

54054132240 is a wasteful number, since it uses less digits than its factorization.

54054132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 54054132240 its reverse (4223145045), we get a palindrome (58277277285).

The spelling of 54054132240 in words is "fifty-four billion, fifty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 593 705 752 940 1128 1186 1410 1779 1880 2256 2372 2820 2965 3558 3760 4744 5640 5930 7116 8081 8895 9488 11280 11860 14232 16162 17790 23720 24243 27871 28464 32324 35580 40405 47440 48486 55742 64648 71160 80810 83613 96972 111484 121215 129296 139355 142320 161620 167226 193944 222968 242430 278710 323240 334452 379807 387888 418065 445936 484860 557420 646480 668904 759614 836130 969720 1114840 1139421 1337808 1519228 1672260 1899035 1939440 2229680 2278842 3038456 3344520 3798070 4557684 4792033 5697105 6076912 6689040 7596140 9115368 9584066 11394210 14376099 15192280 18230736 19168132 22788420 23960165 28752198 30384560 38336264 45576840 47920330 57504396 71880495 76672528 91153680 95840660 115008792 143760990 191681320 225225551 230017584 287521980 383362640 450451102 575043960 675676653 900902204 1126127755 1150087920 1351353306 1801804408 2252255510 2702706612 3378383265 3603608816 4504511020 5405413224 6756766530 9009022040 10810826448 13513533060 18018044080 27027066120 54054132240