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114162327408 = 24317793594933
BaseRepresentation
bin110101001010010011…
…0101101111101110000
3101220200011120010011110
41222110212231331300
53332301023434113
6124240114513320
711151022525533
oct1522446557560
9356604503143
10114162327408
1144463726318
121a160895840
13a9c494552c
14574dd10a1a
152e82734bc3
hex1a949adf70

114162327408 has 160 divisors (see below), whose sum is σ = 317165414400. Its totient is φ = 35256619008.

The previous prime is 114162327407. The next prime is 114162327443. The reversal of 114162327408 is 804723261411.

It is a super-2 number, since 2×1141623274082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114162327403) 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, 23140110 + ... + 23145042.

It is an arithmetic number, because the mean of its divisors is an integer number (1982283840).

Almost surely, 2114162327408 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 114162327408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158582707200).

114162327408 is an abundant number, since it is smaller than the sum of its proper divisors (203003086992).

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

114162327408 is a wasteful number, since it uses less digits than its factorization.

114162327408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 114162327408 its reverse (804723261411), we get a palindrome (918885588819).

The spelling of 114162327408 in words is "one hundred fourteen billion, one hundred sixty-two million, three hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 359 408 474 632 718 816 948 1077 1264 1343 1436 1896 2154 2686 2872 3792 4029 4308 4933 5372 5744 6103 8058 8616 9866 10744 12206 14799 16116 17232 18309 19732 21488 24412 28361 29598 32232 36618 39464 48824 56722 59196 64464 73236 78928 83861 85083 97648 113444 118392 146472 167722 170166 226888 236784 251583 292944 335444 340332 389707 453776 482137 503166 670888 680664 779414 964274 1006332 1169121 1341776 1361328 1446411 1558828 1770947 1928548 2012664 2338242 2892822 3117656 3541894 3857096 4025328 4676484 5312841 5785644 6235312 6625019 7083788 7714192 9352968 10625682 11571288 13250038 14167576 18705936 19875057 21251364 23142576 26500076 28335152 30106099 39750114 42502728 53000152 60212198 79500228 85005456 90318297 106000304 120424396 139904813 159000456 180636594 240848792 279809626 318000912 361273188 419714439 481697584 559619252 722546376 839428878 1119238504 1445092752 1678857756 2238477008 2378381821 3357715512 4756763642 6715431024 7135145463 9513527284 14270290926 19027054568 28540581852 38054109136 57081163704 114162327408