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3400040231412 = 22311163641246527
BaseRepresentation
bin110001011110100010001…
…100001011000111110100
3110001001002122112121120020
4301132202030023013310
5421201240244401122
611121542410005140
7500434111055616
oct61364214130764
913031078477506
103400040231412
1110a0a49087580
1246ab4a7167b0
131b88125b61c6
14ba7c456cdb6
155d699937c5c
hex317a230b1f4

3400040231412 has 96 divisors (see below), whose sum is σ = 8721363861504. Its totient is φ = 1022392627200.

The previous prime is 3400040231407. The next prime is 3400040231417. The reversal of 3400040231412 is 2141320400043.

It is an interprime number because it is at equal distance from previous prime (3400040231407) and next prime (3400040231417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400040231417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13668493 + ... + 13915019.

It is an arithmetic number, because the mean of its divisors is an integer number (90847540224).

Almost surely, 23400040231412 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 3400040231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360681930752).

3400040231412 is an abundant number, since it is smaller than the sum of its proper divisors (5321323630092).

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

3400040231412 is a wasteful number, since it uses less digits than its factorization.

3400040231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247349 (or 247347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3400040231412 its reverse (2141320400043), we get a palindrome (5541360631455).

The spelling of 3400040231412 in words is "three trillion, four hundred billion, forty million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 641 652 978 1282 1793 1923 1956 2564 3586 3846 5379 7051 7172 7692 10758 14102 21153 21516 28204 42306 84612 104483 208966 246527 313449 417932 493054 626898 739581 986108 1149313 1253796 1479162 2298626 2711797 2958324 3447939 4597252 5423594 6895878 8135391 10847188 13791756 16270782 32541564 40183901 80367802 120551703 158023807 160735604 241103406 316047614 442022911 474071421 482206812 632095228 884045822 948142842 1326068733 1738261877 1768091644 1896285684 2652137466 3476523754 5214785631 5304274932 6953047508 10429571262 20859142524 25757880541 51515761082 77273641623 103031522164 154547283246 283336685951 309094566492 566673371902 850010057853 1133346743804 1700020115706 3400040231412