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145641365520 = 24357103841663
BaseRepresentation
bin1000011110100011100…
…1101110000000010000
3111220220222220221101220
42013220321232000100
54341233142144040
6150523503525040
713344062116050
oct2075071560020
9456828827356
10145641365520
11568478325a2
1224286bb9780
13109705706c1
147098963560
153bc61172d0
hex21e8e6e010

145641365520 has 160 divisors (see below), whose sum is σ = 520996749312. Its totient is φ = 32966217216.

The previous prime is 145641365483. The next prime is 145641365563. The reversal of 145641365520 is 25563146541.

It is a super-2 number, since 2×1456413655202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 247792 + ... + 593871.

Almost surely, 2145641365520 is an apocalyptic number.

145641365520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145641365520 is an abundant number, since it is smaller than the sum of its proper divisors (375355383792).

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

145641365520 is a wasteful number, since it uses less digits than its factorization.

145641365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841789 (or 841783 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 145641365520 in words is "one hundred forty-five billion, six hundred forty-one million, three hundred sixty-five thousand, five hundred twenty".

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 84 103 105 112 120 140 168 206 210 240 280 309 336 412 420 515 560 618 721 824 840 1030 1236 1442 1545 1648 1680 2060 2163 2472 2884 3090 3605 4120 4326 4944 5768 6180 7210 8240 8652 10815 11536 12360 14420 17304 21630 24720 28840 34608 43260 57680 86520 173040 841663 1683326 2524989 3366652 4208315 5049978 5891641 6733304 8416630 10099956 11783282 12624945 13466608 16833260 17674923 20199912 23566564 25249890 29458205 33666520 35349846 40399824 47133128 50499780 58916410 67333040 70699692 86691289 88374615 94266256 100999560 117832820 141399384 173382578 176749230 201999120 235665640 260073867 282798768 346765156 353498460 433456445 471331280 520147734 606839023 693530312 706996920 866912890 1040295468 1213678046 1300369335 1387060624 1413993840 1733825780 1820517069 2080590936 2427356092 2600738670 3034195115 3467651560 3641034138 4161181872 4854712184 5201477340 6068390230 6935303120 7282068276 9102585345 9709424368 10402954680 12136780460 14564136552 18205170690 20805909360 24273560920 29128273104 36410341380 48547121840 72820682760 145641365520