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354032053421312 = 2871749211236153
BaseRepresentation
bin101000001111111011000001…
…0110010001000010100000000
31201102112010121111222001210102
41100133312002302020110000
5332400430121133440222
63252544025143421532
7134366654214622250
oct12037660262102400
91642463544861712
10354032053421312
11a2895172618012
123385994a4548a8
13122711055483b6
14635d3583cb960
152ade2bd4b8d92
hex141fd82c88500

354032053421312 has 144 divisors (see below), whose sum is σ = 855164597922432. Its totient is φ = 142799338536960.

The previous prime is 354032053421257. The next prime is 354032053421339. The reversal of 354032053421312 is 213124350230453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499045828 + ... + 1499281980.

It is an arithmetic number, because the mean of its divisors is an integer number (5938643041128).

Almost surely, 2354032053421312 is an apocalyptic number.

354032053421312 is a gapful number since it is divisible by the number (32) 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 354032053421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427582298961216).

354032053421312 is an abundant number, since it is smaller than the sum of its proper divisors (501132544501120).

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

354032053421312 is a wasteful number, since it uses less digits than its factorization.

354032053421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285404 (or 285390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 354032053421312 in words is "three hundred fifty-four trillion, thirty-two billion, fifty-three million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 49211 98422 196844 236153 344477 393688 472306 688954 787376 836587 944612 1377908 1574752 1653071 1673174 1889224 2755816 3149504 3306142 3346348 3778448 4014601 5511632 5856109 6299008 6612284 6692696 7556896 8029202 11023264 11712218 12598016 13224568 13385392 15113792 16058404 22046528 23424436 26449136 26770784 28102207 30227584 32116808 44093056 46848872 52898272 53541568 56204414 60455168 64233616 88186112 93697744 105796544 107083136 112408828 128467232 187395488 211593088 214166272 224817656 256934464 374790976 423186176 449635312 513868928 749581952 899270624 1027737856 1499163904 1798541248 3597082496 7194164992 11621325283 23242650566 46485301132 81349276981 92970602264 162698553962 185941204528 197562529811 325397107924 371882409056 395125059622 650794215848 743764818112 790250119244 1301588431696 1382937708677 1487529636224 1580500238488 2603176863392 2765875417354 2975059272448 3161000476976 5206353726784 5531750834708 6322000953952 10412707453568 11063501669416 12644001907904 20825414907136 22127003338832 25288003815808 44254006677664 50576007631616 88508013355328 177016026710656 354032053421312