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241696082432 = 2971812291627
BaseRepresentation
bin1110000100011000110…
…1011000101000000000
3212002212012211010200202
43201012031120220000
512424443144114212
6303011133504332
723314311542360
oct3410615305000
9762765733622
10241696082432
1193559157062
123aa136420a8
1319a3a8a8abc
14b9aba349a0
156448cd90c2
hex3846358a00

241696082432 has 160 divisors (see below), whose sum is σ = 557723886720. Its totient is φ = 102498877440.

The previous prime is 241696082431. The next prime is 241696082437. The reversal of 241696082432 is 234280696142.

It is a super-2 number, since 2×2416960824322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241696082431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148552403 + ... + 148554029.

It is an arithmetic number, because the mean of its divisors is an integer number (3485774292).

Almost surely, 2241696082432 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 241696082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278861943360).

241696082432 is an abundant number, since it is smaller than the sum of its proper divisors (316027804288).

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

241696082432 is a wasteful number, since it uses less digits than its factorization.

241696082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 241696082432 in words is "two hundred forty-one billion, six hundred ninety-six million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 229 256 362 448 458 512 724 896 916 1267 1448 1603 1627 1792 1832 2534 2896 3206 3254 3584 3664 5068 5792 6412 6508 7328 10136 11389 11584 12824 13016 14656 20272 22778 23168 25648 26032 29312 40544 41449 45556 46336 51296 52064 58624 81088 82898 91112 92672 102592 104128 117248 162176 165796 182224 205184 208256 290143 294487 324352 331592 364448 372583 410368 416512 580286 588974 648704 663184 728896 745166 820736 833024 1160572 1177948 1326368 1457792 1490332 2061409 2321144 2355896 2608081 2652736 2915584 2980664 4122818 4642288 4711792 5216162 5305472 5831168 5961328 8245636 9284576 9423584 10432324 10610944 11922656 16491272 18569152 18847168 20864648 21221888 23845312 32982544 37138304 37694336 41729296 47690624 65965088 67437523 74276608 75388672 83458592 95381248 131930176 134875046 148553216 150777344 166917184 190762496 263860352 269750092 333834368 472062661 527720704 539500184 667668736 944125322 1055441408 1079000368 1335337472 1888250644 2158000736 3776501288 4316001472 7553002576 8632002944 15106005152 17264005888 30212010304 34528011776 60424020608 120848041216 241696082432