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2434027135540 = 22571121311052707
BaseRepresentation
bin100011011010110111010…
…100101010001000110100
322121200122112110210202011
4203122313110222020310
5304334341421314130
65102102052454004
7340565314166620
oct43326724521064
98550575423664
102434027135540
118592a0954800
1233389291a304
131486b269a430
1485b43c76180
15434abd3552a
hex236b752a234

2434027135540 has 144 divisors (see below), whose sum is σ = 6914927811456. Its totient is φ = 700299452160.

The previous prime is 2434027135531. The next prime is 2434027135543. The reversal of 2434027135540 is 455317204342.

It is a junction number, because it is equal to n+sod(n) for n = 2434027135493 and 2434027135502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434027135543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5306134 + ... + 5746573.

It is an arithmetic number, because the mean of its divisors is an integer number (48020332024).

Almost surely, 22434027135540 is an apocalyptic number.

2434027135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434027135540 is an abundant number, since it is smaller than the sum of its proper divisors (4480900675916).

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

2434027135540 is a wasteful number, since it uses less digits than its factorization.

2434027135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11052758 (or 11052745 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 2434027135540 in words is "two trillion, four hundred thirty-four billion, twenty-seven million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 11052707 22105414 44210828 55263535 77368949 110527070 121579777 143685191 154737898 221054140 243159554 287370382 309475796 386844745 486319108 574740764 607898885 718425955 773689490 851058439 1005796337 1215797770 1337377547 1436851910 1547378980 1580537101 1702116878 2011592674 2431595540 2674755094 2873703820 3161074202 3404233756 4023185348 4255292195 5028981685 5349510188 6322148404 6686887735 7902685505 8510584390 9361642829 10057963370 11063759707 13373775470 15805371010 17021168780 17385908111 18723285658 20115926740 22127519414 26747550940 31610742020 34771816222 37446571316 44255038828 46808214145 55318798535 69543632444 86929540555 93616428290 110637597070 121701356777 173859081110 187232856580 221275194140 243402713554 347718162220 486805427108 608506783885 1217013567770 2434027135540