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427295371440 = 243572411055363
BaseRepresentation
bin1100011011111001100…
…10011111000010110000
31111211220221121220110210
412031330302133002300
524000100103341230
6524144034424120
742604530505260
oct6157462370260
91454827556423
10427295371440
11155240108a13
126a990432040
13313a8588cc2
14169773317a0
15b1acd75eb0
hex637cc9f0b0

427295371440 has 160 divisors (see below), whose sum is σ = 1520129419776. Its totient is φ = 97262161920.

The previous prime is 427295371381. The next prime is 427295371453. The reversal of 427295371440 is 44173592724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 427295371440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122802 + ... + 932561.

Almost surely, 2427295371440 is an apocalyptic number.

427295371440 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 427295371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760064709888).

427295371440 is an abundant number, since it is smaller than the sum of its proper divisors (1092834048336).

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

427295371440 is a wasteful number, since it uses less digits than its factorization.

427295371440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055627 (or 1055621 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 427295371440 in words is "four hundred twenty-seven billion, two hundred ninety-five million, three hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 241 280 336 420 482 560 723 840 964 1205 1446 1680 1687 1928 2410 2892 3374 3615 3856 4820 5061 5784 6748 7230 8435 9640 10122 11568 13496 14460 16870 19280 20244 25305 26992 28920 33740 40488 50610 57840 67480 80976 101220 134960 202440 404880 1055363 2110726 3166089 4221452 5276815 6332178 7387541 8442904 10553630 12664356 14775082 15830445 16885808 21107260 22162623 25328712 29550164 31660890 36937705 42214520 44325246 50657424 59100328 63321780 73875410 84429040 88650492 110813115 118200656 126643560 147750820 177300984 221626230 253287120 254342483 295501640 354601968 443252460 508684966 591003280 763027449 886504920 1017369932 1271712415 1526054898 1773009840 1780397381 2034739864 2543424830 3052109796 3560794762 3815137245 4069479728 5086849660 5341192143 6104219592 7121589524 7630274490 8901986905 10173699320 10682384286 12208439184 14243179048 15260548980 17803973810 20347398640 21364768572 26705960715 28486358096 30521097960 35607947620 42729537144 53411921430 61042195920 71215895240 85459074288 106823842860 142431790480 213647685720 427295371440