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40137011200433 = 71721915755711941
BaseRepresentation
bin10010010000001001000000…
…10010111000000110110001
312021010001122022200010211102
421020010200102320012301
520230101044331403213
6221210404405454145
711311542361036460
oct1110044022700661
9167101568603742
1040137011200433
11118750134a8924
1246029a3a11355
131951b99b972b4
149ca8dabb89d7
154990c835d158
hex2481204b81b1

40137011200433 has 96 divisors (see below), whose sum is σ = 51716212450560. Its totient is φ = 30422603427840.

The previous prime is 40137011200411. The next prime is 40137011200439. The reversal of 40137011200433 is 33400211073104.

It is not a de Polignac number, because 40137011200433 - 26 = 40137011200369 is a prime.

It is a super-2 number, since 2×401370112004332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40137011200396 and 40137011200405.

It is not an unprimeable number, because it can be changed into a prime (40137011200439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361271243 + ... + 3361283183.

It is an arithmetic number, because the mean of its divisors is an integer number (538710546360).

Almost surely, 240137011200433 is an apocalyptic number.

It is an amenable number.

40137011200433 is a deficient number, since it is larger than the sum of its proper divisors (11579201250127).

40137011200433 is a wasteful number, since it uses less digits than its factorization.

40137011200433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 40137011200433 its reverse (33400211073104), we get a palindrome (73537222273537).

The spelling of 40137011200433 in words is "forty trillion, one hundred thirty-seven billion, eleven million, two hundred thousand, four hundred thirty-three".

Divisors: 1 7 17 19 119 133 157 289 323 557 1099 2023 2261 2669 2983 3899 5491 9469 10583 11941 18683 20881 38437 45373 50711 66283 74081 83587 87449 160973 179911 202997 226879 317611 354977 612143 862087 1126811 1259377 1420979 1486633 1588153 1661531 1874737 3058487 3450949 3856943 6034609 6651137 10406431 11630717 13123159 21409409 24156643 25272761 26998601 28246027 31870529 35620003 46557959 65568031 113069329 126371603 176909327 197722189 223093703 249340021 458976217 480182459 541798993 605540051 791485303 884601221 1044228509 1922178593 2148317251 3361277213 3792592951 4238780357 7309599563 10294180867 13455250151 15038220757 17751884653 19840341671 36521393267 72059266069 124263192571 138882391697 255649752869 301782039101 337285808407 2112474273707 2361000658849 5733858742919 40137011200433