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42473355440 = 2451931229077
BaseRepresentation
bin100111100011100110…
…111111100010110000
311001122001010000022112
4213203212333202300
51143441134333230
631302331224452
73032346364415
oct474346774260
9131561100275
1042473355440
111701611364a
1282942a8128
13400b6130a9
1420acc8410c
151188becd95
hex9e39bf8b0

42473355440 has 120 divisors (see below), whose sum is σ = 107412968880. Its totient is φ = 15575431680.

The previous prime is 42473355437. The next prime is 42473355443. The reversal of 42473355440 is 4455337424.

It is an interprime number because it is at equal distance from previous prime (42473355437) and next prime (42473355443).

It is not an unprimeable number, because it can be changed into a prime (42473355443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1446182 + ... + 1475258.

It is an arithmetic number, because the mean of its divisors is an integer number (895108074).

Almost surely, 242473355440 is an apocalyptic number.

42473355440 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 42473355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706484440).

42473355440 is an abundant number, since it is smaller than the sum of its proper divisors (64939613440).

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

42473355440 is a wasteful number, since it uses less digits than its factorization.

42473355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29171 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 41.

The spelling of 42473355440 in words is "forty-two billion, four hundred seventy-three million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 961 1178 1240 1520 1922 2356 2480 2945 3844 4712 4805 5890 7688 9424 9610 11780 15376 18259 19220 23560 29077 36518 38440 47120 58154 73036 76880 91295 116308 145385 146072 182590 232616 290770 292144 365180 465232 552463 581540 730360 901387 1104926 1163080 1460720 1802774 2209852 2326160 2762315 3605548 4419704 4506935 5524630 7211096 8839408 9013870 11049260 14422192 17126353 18027740 22098520 27942997 34252706 36055480 44197040 55885994 68505412 72110960 85631765 111771988 137010824 139714985 171263530 223543976 274021648 279429970 342527060 447087952 530916943 558859940 685054120 1061833886 1117719880 1370108240 2123667772 2235439760 2654584715 4247335544 5309169430 8494671088 10618338860 21236677720 42473355440