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1466075144040 = 2335132118744357
BaseRepresentation
bin10101010101011000111…
…000110101111101101000
312012011012022000220010220
4111111120320311331220
5143010010214102130
63041301114210040
7210630465052653
oct25253070657550
95164168026126
101466075144040
1151583921aa51
121b8175723920
13a8333b7cb40
1450d5bc6c89a
1528208de0410
hex15558e35f68

1466075144040 has 128 divisors (see below), whose sum is σ = 4736880812160. Its totient is φ = 360854866944.

The previous prime is 1466075144029. The next prime is 1466075144057. The reversal of 1466075144040 is 404415706641.

It is a junction number, because it is equal to n+sod(n) for n = 1466075143983 and 1466075144001.

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, 33029542 + ... + 33073898.

It is an arithmetic number, because the mean of its divisors is an integer number (37006881345).

Almost surely, 21466075144040 is an apocalyptic number.

1466075144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1466075144040 is an abundant number, since it is smaller than the sum of its proper divisors (3270805668120).

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

1466075144040 is a wasteful number, since it uses less digits than its factorization.

1466075144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65571 (or 65567 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

It can be divided in two parts, 1466075 and 144040, that added together give a triangular number (1610115 = T1794).

The spelling of 1466075144040 in words is "one trillion, four hundred sixty-six billion, seventy-five million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 21187 42374 44357 63561 84748 88714 105935 127122 133071 169496 177428 211870 221785 254244 266142 275431 317805 354856 423740 443570 508488 532284 550862 576641 635610 665355 826293 847480 887140 1064568 1101724 1153282 1271220 1330710 1377155 1652586 1729923 1774280 2203448 2306564 2542440 2661420 2754310 2883205 3305172 3459846 4131465 4613128 5322840 5508620 5766410 6610344 6919692 8262930 8649615 11017240 11532820 13839384 16525860 17299230 23065640 33051720 34598460 69196920 939791759 1879583518 2819375277 3759167036 4698958795 5638750554 7518334072 9397917590 11277501108 12217292867 14096876385 18795835180 22555002216 24434585734 28193752770 36651878601 37591670360 48869171468 56387505540 61086464335 73303757202 97738342936 112775011080 122172928670 146607514404 183259393005 244345857340 293215028808 366518786010 488691714680 733037572020 1466075144040