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4001431212 = 223359797949
BaseRepresentation
bin1110111010000000…
…1111111010101100
3101022212101202201000
43232200033322230
531143331244322
61501020320300
7201105414132
oct35640177254
911285352630
104001431212
111773781549
129380a3090
134ba002c9c
1429d607752
151864593ac
hexee80feac

4001431212 has 96 divisors (see below), whose sum is σ = 10684800000. Its totient is φ = 1294443072.

The previous prime is 4001431201. The next prime is 4001431229. The reversal of 4001431212 is 2121341004.

4001431212 is a `hidden beast` number, since 400 + 143 + 121 + 2 = 666.

It is a super-2 number, since 2×40014312122 = 32022903488735577888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499414 + ... + 507362.

It is an arithmetic number, because the mean of its divisors is an integer number (111300000).

Almost surely, 24001431212 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 4001431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342400000).

4001431212 is an abundant number, since it is smaller than the sum of its proper divisors (6683368788).

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

4001431212 is a wasteful number, since it uses less digits than its factorization.

4001431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4001431212 is about 63256.8669157744. The cubic root of 4001431212 is about 1587.5903550118.

Adding to 4001431212 its reverse (2121341004), we get a palindrome (6122772216).

The spelling of 4001431212 in words is "four billion, one million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 79 108 118 158 177 236 237 316 354 474 531 708 711 948 1062 1422 1593 2124 2133 2844 3186 4266 4661 6372 7949 8532 9322 13983 15898 18644 23847 27966 31796 41949 47694 55932 71541 83898 95388 125847 143082 167796 214623 251694 286164 429246 468991 503388 627971 858492 937982 1255942 1406973 1875964 1883913 2511884 2813946 3767826 4220919 5627892 5651739 7535652 8441838 11303478 12662757 16883676 16955217 22606956 25325514 33910434 37050289 50651028 67820868 74100578 111150867 148201156 222301734 333452601 444603468 666905202 1000357803 1333810404 2000715606 4001431212