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130144003440 = 24351149296971
BaseRepresentation
bin111100100110100101…
…1111110010101110000
3110102220221220101012120
41321031023332111300
54113013331102230
6135442021354240
712255042530313
oct1711513762560
9412827811176
10130144003440
1150214996040
1221280b68980
13c370984179
14642867297a
1535ba80b310
hex1e4d2fe570

130144003440 has 80 divisors (see below), whose sum is σ = 440123366016. Its totient is φ = 31550060800.

The previous prime is 130144003439. The next prime is 130144003441. The reversal of 130144003440 is 44300441031.

It is an interprime number because it is at equal distance from previous prime (130144003439) and next prime (130144003441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130144003440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144003441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24645846 + ... + 24651125.

Almost surely, 2130144003440 is an apocalyptic number.

130144003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130144003440 is an abundant number, since it is smaller than the sum of its proper divisors (309979362576).

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

130144003440 is a wasteful number, since it uses less digits than its factorization.

130144003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49296998 (or 49296992 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130144003440 its reverse (44300441031), we get a palindrome (174444444471).

The spelling of 130144003440 in words is "one hundred thirty billion, one hundred forty-four million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 49296971 98593942 147890913 197187884 246484855 295781826 394375768 492969710 542266681 591563652 739454565 788751536 985939420 1084533362 1183127304 1478909130 1626800043 1971878840 2169066724 2366254608 2711333405 2957818260 3253600086 3943757680 4338133448 5422666810 5915636520 6507200172 8134000215 8676266896 10845333620 11831273040 13014400344 16268000430 21690667240 26028800688 32536000860 43381334480 65072001720 130144003440