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1434404420040 = 2335229271192613
BaseRepresentation
bin10100110111111001001…
…010100111100111001000
312002010110002222102022010
4110313321022213213020
5142000130012420130
63014542320455520
7205426610253444
oct24677112474710
95063402872263
101434404420040
1150336699a289
121b1bb717a5a0
13a535761ba77
144d5d599d824
15274a37970b0
hex14df92a79c8

1434404420040 has 128 divisors (see below), whose sum is σ = 4337975462400. Its totient is φ = 379430231040.

The previous prime is 1434404420021. The next prime is 1434404420051. The reversal of 1434404420040 is 400244044341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350774 + ... + 7543386.

It is an arithmetic number, because the mean of its divisors is an integer number (33890433300).

Almost surely, 21434404420040 is an apocalyptic number.

1434404420040 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 1434404420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168987731200).

1434404420040 is an abundant number, since it is smaller than the sum of its proper divisors (2903571042360).

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

1434404420040 is a wasteful number, since it uses less digits than its factorization.

1434404420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193127 (or 193123 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1434404420040 its reverse (400244044341), we get a palindrome (1834648464381).

The spelling of 1434404420040 in words is "one trillion, four hundred thirty-four billion, four hundred four million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 271 458 542 687 813 916 1084 1145 1355 1374 1626 1832 2168 2290 2710 2748 3252 3435 4065 4580 5420 5496 6504 6870 8130 9160 10840 13740 16260 27480 32520 62059 124118 186177 192613 248236 310295 372354 385226 496472 577839 620590 744708 770452 930885 963065 1155678 1241180 1489416 1540904 1861770 1926130 2311356 2482360 2889195 3723540 3852260 4622712 5778390 7447080 7704520 11556780 23113560 44108377 52198123 88216754 104396246 132325131 156594369 176433508 208792492 220541885 260990615 264650262 313188738 352867016 417584984 441083770 521981230 529300524 626377476 661625655 782971845 882167540 1043962460 1058601048 1252754952 1323251310 1565943690 1764335080 2087924920 2646502620 3131887380 5293005240 6263774760 11953370167 23906740334 35860110501 47813480668 59766850835 71720221002 95626961336 119533701670 143440442004 179300552505 239067403340 286880884008 358601105010 478134806680 717202210020 1434404420040