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424411322140 = 2251323101370061
BaseRepresentation
bin1100010110100001110…
…00101101011100011100
31111120110221210000121001
412023100320231130130
523423143244302030
6522545531320044
742443210500261
oct6132070553434
91446427700531
10424411322140
11153aa0143aa3
126a3065b0024
1331038c11560
14167822ad268
15b08ea87cca
hex62d0e2d71c

424411322140 has 96 divisors (see below), whose sum is σ = 1002556953216. Its totient is φ = 149742320640.

The previous prime is 424411322129. The next prime is 424411322161. The reversal of 424411322140 is 41223114424.

It is a junction number, because it is equal to n+sod(n) for n = 424411322099 and 424411322108.

It is a congruent number.

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, 6022710 + ... + 6092770.

It is an arithmetic number, because the mean of its divisors is an integer number (10443301596).

Almost surely, 2424411322140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424411322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501278476608).

424411322140 is an abundant number, since it is smaller than the sum of its proper divisors (578145631076).

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

424411322140 is a wasteful number, since it uses less digits than its factorization.

424411322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71119 (or 71117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 424411322140 its reverse (41223114424), we get a palindrome (465634436564).

The spelling of 424411322140 in words is "four hundred twenty-four billion, four hundred eleven million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1013 1196 1495 2026 2990 4052 5065 5980 10130 13169 20260 23299 26338 46598 52676 65845 70061 93196 116495 131690 140122 232990 263380 280244 302887 350305 465980 605774 700610 910793 1211548 1401220 1514435 1611403 1821586 3028870 3222806 3643172 4553965 6057740 6445612 8057015 9107930 16114030 18215860 20948239 32228060 41896478 70971793 83792956 104741195 141943586 209482390 283887172 354858965 418964780 709717930 922633309 1419435860 1632351239 1845266618 3264702478 3690533236 4613166545 6529404956 8161756195 9226333090 16323512390 18452666180 21220566107 32647024780 42441132214 84882264428 106102830535 212205661070 424411322140