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2424302430440 = 23511171917058137
BaseRepresentation
bin100011010001110011101…
…011110110100011101000
322120202112210201121020012
4203101303223312203220
5304204432410233230
65053413102351052
7340102321440662
oct43216353664350
98522483647205
102424302430440
1185516057a940
12331a19b8b488
131477c2a3ab67
14854a04d5532
15430dd206395
hex23473af68e8

2424302430440 has 128 divisors (see below), whose sum is σ = 6632204054400. Its totient is φ = 786038906880.

The previous prime is 2424302430419. The next prime is 2424302430443. The reversal of 2424302430440 is 440342034242.

It is a junction number, because it is equal to n+sod(n) for n = 2424302430397 and 2424302430406.

It is not an unprimeable number, because it can be changed into a prime (2424302430443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8386949 + ... + 8671188.

It is an arithmetic number, because the mean of its divisors is an integer number (51814094175).

Almost surely, 22424302430440 is an apocalyptic number.

2424302430440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424302430440 is an abundant number, since it is smaller than the sum of its proper divisors (4207901623960).

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

2424302430440 is a wasteful number, since it uses less digits than its factorization.

2424302430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058195 (or 17058191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 2424302430440 its reverse (440342034242), we get a palindrome (2864644464682).

The spelling of 2424302430440 in words is "two trillion, four hundred twenty-four billion, three hundred two million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120 17058137 34116274 68232548 85290685 136465096 170581370 187639507 289988329 324104603 341162740 375279014 579976658 648209206 682325480 750558028 938197535 1159953316 1296418412 1449941645 1501116056 1620523015 1876395070 2319906632 2592836824 2899883290 3189871619 3241046030 3565150633 3752790140 5509778251 5799766580 6379743238 6482092060 7130301266 7505580280 11019556502 11599533160 12759486476 12964184120 14260602532 15949358095 17825753165 22039113004 25518972952 27548891255 28521205064 31898716190 35651506330 44078226008 55097782510 60607560761 63797432380 71303012660 110195565020 121215121522 127594864760 142606025320 220391130040 242430243044 303037803805 484860486088 606075607610 1212151215220 2424302430440