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4045015120416 = 253415107201233
BaseRepresentation
bin111010110111001101101…
…100000111101000100000
3112022200220001120202022020
4322313031230013220200
51012233142332323131
612334130532141440
7565146150135204
oct72671554075040
915280801522266
104045015120416
11131a532644926
12553b4b467880
1323459bba1c6a
14ddacb9c6b04
1570347dd3996
hex3adcdb07a20

4045015120416 has 96 divisors (see below), whose sum is σ = 10879328230848. Its totient is φ = 1315187957760.

The previous prime is 4045015120373. The next prime is 4045015120417. The reversal of 4045015120416 is 6140215105404.

4045015120416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4045015120417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20000536 + ... + 20201768.

It is an arithmetic number, because the mean of its divisors is an integer number (113326335738).

Almost surely, 24045015120416 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 4045015120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439664115424).

4045015120416 is an abundant number, since it is smaller than the sum of its proper divisors (6834313110432).

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

4045015120416 is a wasteful number, since it uses less digits than its factorization.

4045015120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206394 (or 206386 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 4045015120416 in words is "four trillion, forty-five billion, fifteen million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 5107 10214 15321 20428 30642 40856 61284 81712 122568 163424 201233 209387 245136 402466 418774 490272 603699 628161 804932 837548 1207398 1256322 1609864 1675096 2414796 2512644 3219728 3350192 4829592 5025288 6439456 6700384 8250553 9659184 10050576 16501106 19318368 20101152 24751659 33002212 49503318 66004424 99006636 132008848 198013272 264017696 396026544 792053088 1027696931 2055393862 3083090793 4110787724 6166181586 8221575448 12332363172 16443150896 24664726344 32886301792 42135574171 49329452688 84271148342 98658905376 126406722513 168542296684 252813445026 337084593368 505626890052 674169186736 1011253780104 1348338373472 2022507560208 4045015120416