Search a number
-
+
42316053440 = 265379193889
BaseRepresentation
bin100111011010001110…
…111011101111000000
311001020002010020112112
4213122032323233000
51143130402202230
631234551514452
73025426343123
oct473216735700
9131202106475
1042316053440
1116a453442a1
12824b688a28
133cb4b5869b
1420960183ba
151179ec9d95
hex9da3bbbc0

42316053440 has 112 divisors (see below), whose sum is σ = 103627732800. Its totient is φ = 16446799872.

The previous prime is 42316053413. The next prime is 42316053487. The reversal of 42316053440 is 4435061324.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42316053397 and 42316053406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10879016 + ... + 10882904.

Almost surely, 242316053440 is an apocalyptic number.

42316053440 is a gapful number since it is divisible by the number (40) 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 42316053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51813866400).

42316053440 is an abundant number, since it is smaller than the sum of its proper divisors (61311679360).

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

42316053440 is a wasteful number, since it uses less digits than its factorization.

42316053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 42316053440 in words is "forty-two billion, three hundred sixteen million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 919 1184 1480 1838 2368 2960 3676 3889 4595 5920 7352 7778 9190 11840 14704 15556 18380 19445 29408 31112 34003 36760 38890 58816 62224 68006 73520 77780 124448 136012 143893 147040 155560 170015 248896 272024 287786 294080 311120 340030 544048 575572 622240 680060 719465 1088096 1151144 1244480 1360120 1438930 2176192 2302288 2720240 2877860 3573991 4604576 5440480 5755720 7147982 9209152 10880960 11511440 14295964 17869955 23022880 28591928 35739910 46045760 57183856 71479820 114367712 132237667 142959640 228735424 264475334 285919280 528950668 571838560 661188335 1057901336 1143677120 1322376670 2115802672 2644753340 4231605344 5289506680 8463210688 10579013360 21158026720 42316053440