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504441002121 = 37231532088601
BaseRepresentation
bin1110101011100110000…
…01101101100010001001
31210020001100201222212120
413111303001231202021
531231043344031441
61023423105201453
751305342525400
oct7256301554211
91706040658776
10504441002121
11184a28882091
1281920330289
1338751238794
141a5b4d72637
15d1c596a966
hex757306d889

504441002121 has 48 divisors (see below), whose sum is σ = 822875770368. Its totient is φ = 273690144000.

The previous prime is 504441002083. The next prime is 504441002147. The reversal of 504441002121 is 121200144405.

It is not a de Polignac number, because 504441002121 - 211 = 504441000073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 504441002091 and 504441002100.

It is not an unprimeable number, because it can be changed into a prime (504441002521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802780 + ... + 1285821.

It is an arithmetic number, because the mean of its divisors is an integer number (17143245216).

Almost surely, 2504441002121 is an apocalyptic number.

It is an amenable number.

504441002121 is a deficient number, since it is larger than the sum of its proper divisors (318434768247).

504441002121 is a wasteful number, since it uses less digits than its factorization.

504441002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088702 (or 2088695 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 504441002121 its reverse (121200144405), we get a palindrome (625641146526).

The spelling of 504441002121 in words is "five hundred four billion, four hundred forty-one million, two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 49 53 93 147 159 217 371 651 1113 1519 1643 2597 4557 4929 7791 11501 34503 80507 241521 2088601 6265803 14620207 43860621 64746631 102341449 110695853 194239893 307024347 332087559 453226417 774870971 1359679251 2324612913 3172584919 3431571443 5424096797 9517754757 10294714329 16272290391 24021000101 72063000303 168147000707 504441002121