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1020411432460 = 225767223487829
BaseRepresentation
bin11101101100101010100…
…00101100111000001100
310121112212020010121222001
432312111100230320030
5113204300311314320
62100434234202044
7133502514031330
oct16662520547014
93545766117861
101020411432460
11363832719242
12145919883324
13752bbc88624
143756122b7c0
151b8236a320a
hexed9542ce0c

1020411432460 has 96 divisors (see below), whose sum is σ = 2496690524160. Its totient is φ = 343087481088.

The previous prime is 1020411432379. The next prime is 1020411432461. The reversal of 1020411432460 is 642341140201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1020411432461) by changing a digit.

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, 1847826 + ... + 2335654.

It is an arithmetic number, because the mean of its divisors is an integer number (26007192960).

Almost surely, 21020411432460 is an apocalyptic number.

1020411432460 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 1020411432460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248345262080).

1020411432460 is an abundant number, since it is smaller than the sum of its proper divisors (1476279091700).

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

1020411432460 is a wasteful number, since it uses less digits than its factorization.

1020411432460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488135 (or 488133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1020411432460 its reverse (642341140201), we get a palindrome (1662752572661).

The spelling of 1020411432460 in words is "one trillion, twenty billion, four hundred eleven million, four hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 223 268 335 446 469 670 892 938 1115 1340 1561 1876 2230 2345 3122 4460 4690 6244 7805 9380 14941 15610 29882 31220 59764 74705 104587 149410 209174 298820 418348 487829 522935 975658 1045870 1951316 2091740 2439145 3414803 4878290 6829606 9756580 13659212 17074015 32684543 34148030 65369086 68296060 108785867 130738172 163422715 217571734 228791801 326845430 435143468 457583602 543929335 653690860 761501069 915167204 1087858670 1143959005 1523002138 2175717340 2287918010 3046004276 3807505345 4575836020 7288653089 7615010690 14577306178 15230021380 29154612356 36443265445 51020571623 72886530890 102041143246 145773061780 204082286492 255102858115 510205716230 1020411432460