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1431444130100 = 2252317313746171
BaseRepresentation
bin10100110101001000101…
…110000000100100110100
312001211210210200002220222
4110311020232000210310
5141423044144130400
63013332451313512
7205263343230515
oct24651056004464
95054723602828
101431444130100
11502087991676
121b150b8ab898
13a4ca522c10a
144d3d4772a0c
152737d949185
hex14d48b80934

1431444130100 has 144 divisors (see below), whose sum is σ = 3274154774016. Its totient is φ = 542515968000.

The previous prime is 1431444130099. The next prime is 1431444130111. The reversal of 1431444130100 is 10314441341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1431444130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30980015 + ... + 31026185.

Almost surely, 21431444130100 is an apocalyptic number.

1431444130100 is a gapful number since it is divisible by the number (10) 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 1431444130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637077387008).

1431444130100 is an abundant number, since it is smaller than the sum of its proper divisors (1842710643916).

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

1431444130100 is a wasteful number, since it uses less digits than its factorization.

1431444130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46426 (or 46419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1431444130100 its reverse (10314441341), we get a palindrome (1441758571441).

The spelling of 1431444130100 in words is "one trillion, four hundred thirty-one billion, four hundred forty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 73 100 124 137 146 155 274 292 310 365 548 620 685 730 775 1370 1460 1550 1825 2263 2740 3100 3425 3650 4247 4526 6850 7300 8494 9052 10001 11315 13700 16988 20002 21235 22630 40004 42470 45260 46171 50005 56575 84940 92342 100010 106175 113150 184684 200020 212350 226300 230855 250025 310031 424700 461710 500050 620062 923420 1000100 1154275 1240124 1431301 1550155 2308550 2862602 3100310 3370483 4617100 5725204 6200620 6325427 6740966 7156505 7750775 12650854 13481932 14313010 15501550 16852415 25301708 28626020 31003100 31627135 33704830 35782525 63254270 67409660 71565050 84262075 104484973 126508540 143130100 158135675 168524150 196088237 208969946 316271350 337048300 392176474 417939892 461756171 522424865 632542700 784352948 923512342 980441185 1044849730 1847024684 1960882370 2089699460 2308780855 2612124325 3921764740 4617561710 4902205925 5224248650 9235123420 9804411850 10448497300 11543904275 14314441301 19608823700 23087808550 28628882602 46175617100 57257765204 71572206505 143144413010 286288826020 357861032525 715722065050 1431444130100