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4001333042412 = 22322311342765733
BaseRepresentation
bin111010001110100010000…
…010001101110011101100
3112011112010210001021100100
4322032202002031303230
51011024212224324122
612302104221431100
7562041522453126
oct72164202156354
915145123037310
104001333042412
111302a57208112
1254759a40b490
1323042a032424
14db9463c2216
156e13d025aac
hex3a3a208dcec

4001333042412 has 72 divisors (see below), whose sum is σ = 10647641388384. Its totient is φ = 1264497163776.

The previous prime is 4001333042411. The next prime is 4001333042429. The reversal of 4001333042412 is 2142403331004.

4001333042412 is a `hidden beast` number, since 400 + 13 + 3 + 3 + 0 + 4 + 241 + 2 = 666.

It is a super-2 number, since 2×40013330424122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001333042411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21289303 + ... + 21476430.

It is an arithmetic number, because the mean of its divisors is an integer number (147883908172).

Almost surely, 24001333042412 is an apocalyptic number.

It is an amenable number.

4001333042412 is an abundant number, since it is smaller than the sum of its proper divisors (6646308345972).

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

4001333042412 is a wasteful number, since it uses less digits than its factorization.

4001333042412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42765879 (or 42765874 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4001333042412 its reverse (2142403331004), we get a palindrome (6143736373416).

The spelling of 4001333042412 in words is "four trillion, one billion, three hundred thirty-three million, forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 207 226 276 339 414 452 678 828 1017 1356 2034 2599 4068 5198 7797 10396 15594 23391 31188 46782 93564 42765733 85531466 128297199 171062932 256594398 384891597 513188796 769783194 983611859 1539566388 1967223718 2950835577 3934447436 4832527829 5901671154 8852506731 9665055658 11803342308 14497583487 17705013462 19330111316 28995166974 35410026924 43492750461 57990333948 86985500922 111148140067 173971001844 222296280134 333444420201 444592560268 666888840402 1000333260603 1333777680804 2000666521206 4001333042412