Search a number
-
+
542226436440 = 233513536558133
BaseRepresentation
bin1111110001111110011…
…01101101000101011000
31220211120200200221100220
413320333031231011120
532340434431431230
61053032334200040
754113606443443
oct7707715550530
91824520627326
10542226436440
11199a58762157
1289106653020
133c193559940
141c35b39065a
15e187d09d10
hex7e3f36d158

542226436440 has 128 divisors (see below), whose sum is σ = 1784861749440. Its totient is φ = 130952779776.

The previous prime is 542226436421. The next prime is 542226436441. The reversal of 542226436440 is 44634622245.

It is a junction number, because it is equal to n+sod(n) for n = 542226436392 and 542226436401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542226436441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3196387 + ... + 3361746.

Almost surely, 2542226436440 is an apocalyptic number.

It is an amenable number.

542226436440 is an abundant number, since it is smaller than the sum of its proper divisors (1242635313000).

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

542226436440 is a wasteful number, since it uses less digits than its factorization.

542226436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558213 (or 6558209 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 542226436440 in words is "five hundred forty-two billion, two hundred twenty-six million, four hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 3180 3445 4134 5512 6360 6890 8268 10335 13780 16536 20670 27560 41340 82680 6558133 13116266 19674399 26232532 32790665 39348798 52465064 65581330 78697596 85255729 98371995 131162660 157395192 170511458 196743990 255767187 262325320 341022916 347581049 393487980 426278645 511534374 682045832 695162098 786975960 852557290 1023068748 1042743147 1278835935 1390324196 1705114580 1737905245 2046137496 2085486294 2557671870 2780648392 3410229160 3475810490 4170972588 4518553637 5115343740 5213715735 6951620980 8341945176 9037107274 10230687480 10427431470 13555660911 13903241960 18074214548 20854862940 22592768185 27111321822 36148429096 41709725880 45185536370 54222643644 67778304555 90371072740 108445287288 135556609110 180742145480 271113218220 542226436440