Search a number
-
+
112450402416 = 243113159116443
BaseRepresentation
bin110100010111010010…
…0001111100001110000
3101202020212021022120010
41220232210033201300
53320244300334131
6123354202214520
711060424435552
oct1505644174160
9352225238503
10112450402416
1143765358780
12199634b4440
13a7b1082171
14562a8034d2
152dd22c7b46
hex1a2e90f870

112450402416 has 160 divisors (see below), whose sum is σ = 332675850240. Its totient is φ = 32417452800.

The previous prime is 112450402399. The next prime is 112450402417. The reversal of 112450402416 is 614204054211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112450402417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907491 + ... + 1023933.

It is an arithmetic number, because the mean of its divisors is an integer number (2079224064).

Almost surely, 2112450402416 is an apocalyptic number.

112450402416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112450402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166337925120).

112450402416 is an abundant number, since it is smaller than the sum of its proper divisors (220225447824).

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

112450402416 is a wasteful number, since it uses less digits than its factorization.

112450402416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116555 (or 116549 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 112450402416 its reverse (614204054211), we get a palindrome (726654456627).

The spelling of 112450402416 in words is "one hundred twelve billion, four hundred fifty million, four hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 59 62 66 88 93 118 124 132 176 177 186 236 248 264 341 354 372 472 496 528 649 682 708 744 944 1023 1298 1364 1416 1488 1829 1947 2046 2596 2728 2832 3658 3894 4092 5192 5456 5487 7316 7788 8184 10384 10974 14632 15576 16368 20119 21948 29264 31152 40238 43896 60357 80476 87792 116443 120714 160952 232886 241428 321904 349329 465772 482856 698658 931544 965712 1280873 1397316 1863088 2561746 2794632 3609733 3842619 5123492 5589264 6870137 7219466 7685238 10246984 10829199 13740274 14438932 15370476 20493968 20610411 21658398 27480548 28877864 30740952 39707063 41220822 43316796 54961096 57755728 61481904 75571507 79414126 82441644 86633592 109922192 119121189 151143014 158828252 164883288 173267184 212974247 226714521 238242378 302286028 317656504 329766576 425948494 453429042 476484756 604572056 635313008 638922741 851896988 906858084 952969512 1209144112 1277845482 1703793976 1813716168 1905939024 2342716717 2555690964 3407587952 3627432336 4685433434 5111381928 7028150151 9370866868 10222763856 14056300302 18741733736 28112600604 37483467472 56225201208 112450402416