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3414230444412 = 2232613709419183
BaseRepresentation
bin110001101011101111111…
…111100010100101111100
3110002101201120221010022200
4301223233333202211330
5421414320443210122
611132250435311500
7501445545640164
oct61535777424574
913071646833280
103414230444412
1110a6a70093637
1247184aa4b590
131b9c64433748
14bb36cddb5a4
155dc2a5e05ac
hex31aeffe297c

3414230444412 has 72 divisors (see below), whose sum is σ = 8774284034880. Its totient is φ = 1119115336320.

The previous prime is 3414230444353. The next prime is 3414230444441. The reversal of 3414230444412 is 2144440324143.

3414230444412 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 230 + 4 + 4 + 4 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7935373 + ... + 8354555.

It is an arithmetic number, because the mean of its divisors is an integer number (121865056040).

Almost surely, 23414230444412 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 3414230444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387142017440).

3414230444412 is an abundant number, since it is smaller than the sum of its proper divisors (5360053590468).

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

3414230444412 is a wasteful number, since it uses less digits than its factorization.

3414230444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422963 (or 422958 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3414230444412 its reverse (2144440324143), we get a palindrome (5558670768555).

The spelling of 3414230444412 in words is "three trillion, four hundred fourteen billion, two hundred thirty million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3709 7418 11127 14836 22254 33381 44508 66762 133524 226249 419183 452498 678747 838366 904996 1257549 1357494 1676732 2036241 2515098 2714988 3772647 4072482 5030196 7545294 8144964 15090588 25570163 51140326 76710489 102280652 153420978 230131467 306841956 460262934 920525868 1554749747 3109499494 4664249241 6218998988 9328498482 13992747723 18656996964 27985495446 55970990892 94839734567 189679469134 284519203701 379358938268 569038407402 853557611103 1138076814804 1707115222206 3414230444412