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4314412140102 = 2331071931386689
BaseRepresentation
bin111110110010000111000…
…000001100011001000110
3120021110020210121022012000
4332302013000030121012
51031141404001440402
613102002533210130
7623464104050601
oct76620700143106
916243223538160
104314412140102
1114138061a4059
125981b3a90946
13253b0273849c
1410cb6659d338
1577363a5cc1c
hex3ec8700c646

4314412140102 has 64 divisors (see below), whose sum is σ = 9682222636800. Its totient is φ = 1423955358720.

The previous prime is 4314412140091. The next prime is 4314412140109. The reversal of 4314412140102 is 2010412144134.

4314412140102 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 412 + 140 + 102 = 666.

It is a super-2 number, since 2×43144121401022 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314412140109) 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, 10963974 + ... + 11350662.

It is an arithmetic number, because the mean of its divisors is an integer number (151284728700).

Almost surely, 24314412140102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314412140102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841111318400).

4314412140102 is an abundant number, since it is smaller than the sum of its proper divisors (5367810496698).

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

4314412140102 is a wasteful number, since it uses less digits than its factorization.

4314412140102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388738 (or 388732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4314412140102 its reverse (2010412144134), we get a palindrome (6324824284236).

The spelling of 4314412140102 in words is "four trillion, three hundred fourteen billion, four hundred twelve million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 1931 2889 3862 5778 5793 11586 17379 34758 52137 104274 206617 386689 413234 619851 773378 1160067 1239702 1859553 2320134 3480201 3719106 5578659 6960402 10440603 11157318 20881206 41375723 82751446 124127169 248254338 372381507 744763014 746696459 1117144521 1493392918 2234289042 2240089377 4480178754 6720268131 13440536262 20160804393 40321608786 79896521113 159793042226 239689563339 479379126678 719068690017 1438137380034 2157206070051 4314412140102