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1630427623440 = 243571188226603
BaseRepresentation
bin10111101110011101000…
…011110011000000010000
312202212102022012220102120
4113232131003303000100
5203203103432422230
63245001430214240
7225536342064330
oct27563503630020
95685368186376
101630427623440
11579507985320
12223ba2ab4380
13ba996a81a55
1458cad84b0c0
152c627a2b310
hex17b9d0f3010

1630427623440 has 160 divisors (see below), whose sum is σ = 6301496964096. Its totient is φ = 338790151680.

The previous prime is 1630427623417. The next prime is 1630427623463. The reversal of 1630427623440 is 443267240361.

It is an interprime number because it is at equal distance from previous prime (1630427623417) and next prime (1630427623463).

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

It is a junction number, because it is equal to n+sod(n) for n = 1630427623392 and 1630427623401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44094822 + ... + 44131781.

Almost surely, 21630427623440 is an apocalyptic number.

1630427623440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1630427623440 is an abundant number, since it is smaller than the sum of its proper divisors (4671069340656).

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

1630427623440 is a wasteful number, since it uses less digits than its factorization.

1630427623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88226637 (or 88226631 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 1630427623440 in words is "one trillion, six hundred thirty billion, four hundred twenty-seven million, six hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 88226603 176453206 264679809 352906412 441133015 529359618 617586221 705812824 882266030 970492633 1058719236 1235172442 1323399045 1411625648 1764532060 1852758663 1940985266 2117438472 2470344884 2646798090 2911477899 3087931105 3529064120 3705517326 3881970532 4234876944 4852463165 4940689768 5293596180 5822955798 6175862210 6793448431 7058128240 7411034652 7763941064 9263793315 9704926330 9881379536 10587192360 11645911596 12351724420 13586896862 14557389495 14822069304 15527882128 18527586630 19409852660 20380345293 21174384720 23291823192 24703448840 27173793724 29114778990 29644138608 33967242155 37055173260 38819705320 40760690586 46583646384 49406897680 54347587448 58229557980 67934484310 74110346520 77639410640 81521381172 101901726465 108695174896 116459115960 135868968620 148220693040 163042762344 203803452930 232918231920 271737937240 326085524688 407606905860 543475874480 815213811720 1630427623440