Search a number
-
+
147742073430 = 23572340797499
BaseRepresentation
bin1000100110011000011…
…1010010001001010110
3112010100101202221220120
42021212013102021112
54410033432322210
6151512145212410
713450120621650
oct2114607221126
9463311687816
10147742073430
1157725604536
1224772631106
1310c16848833
1472179556d0
153c9a76e270
hex22661d2256

147742073430 has 128 divisors (see below), whose sum is σ = 423014400000. Its totient is φ = 32289147264.

The previous prime is 147742073429. The next prime is 147742073441. The reversal of 147742073430 is 34370247741.

147742073430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1477420734302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19697821 + ... + 19705319.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800000).

Almost surely, 2147742073430 is an apocalyptic number.

147742073430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147742073430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200000).

147742073430 is an abundant number, since it is smaller than the sum of its proper divisors (275272326570).

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

147742073430 is a wasteful number, since it uses less digits than its factorization.

147742073430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618.

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 147742073430 in words is "one hundred forty-seven billion, seven hundred forty-two million, seventy-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4079 4830 7499 8158 12237 14998 20395 22497 24474 28553 37495 40790 44994 52493 57106 61185 74990 85659 93817 104986 112485 122370 142765 157479 171318 172477 187634 224970 262465 281451 285530 314958 344954 428295 469085 517431 524930 562902 656719 787395 856590 862385 938170 1034862 1207339 1313438 1407255 1574790 1724770 1970157 2414678 2587155 2814510 3283595 3622017 3940314 5174310 6036695 6567190 7244034 9850785 12073390 18110085 19701570 30588421 36220170 61176842 91765263 152942105 183530526 214118947 305884210 428237894 458826315 642356841 703533683 917652630 1070594735 1284713682 1407067366 2110601049 2141189470 3211784205 3517668415 4221202098 4924735781 6423568410 7035336830 9849471562 10553005245 14774207343 21106010490 24623678905 29548414686 49247357810 73871036715 147742073430