Search a number
-
+
334153132430 = 2513419139443
BaseRepresentation
bin1001101110011010001…
…01000010100110001110
31011221111201001220202212
410313031011002212032
520433321200214210
6413301405150422
733066424522115
oct4671505024616
91157451056685
10334153132430
11119793806187
125491725b412
1325683770000
141225cda2c7c
158a5ac0a805
hex4dcd14298e

334153132430 has 160 divisors (see below), whose sum is σ = 692385321600. Its totient is φ = 115783095168.

The previous prime is 334153132363. The next prime is 334153132493. The reversal of 334153132430 is 34231351433.

It is a super-2 number, since 2×3341531324302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 754295789 + ... + 754296231.

It is an arithmetic number, because the mean of its divisors is an integer number (4327408260).

Almost surely, 2334153132430 is an apocalyptic number.

334153132430 is an abundant number, since it is smaller than the sum of its proper divisors (358232189170).

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

334153132430 is a wasteful number, since it uses less digits than its factorization.

334153132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 334153132430 its reverse (34231351433), we get a palindrome (368384483863).

The spelling of 334153132430 in words is "three hundred thirty-four billion, one hundred fifty-three million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 139 169 190 247 278 338 443 494 695 845 886 1235 1390 1690 1807 2197 2215 2470 2641 3211 3614 4394 4430 5282 5759 6422 8417 9035 10985 11518 13205 16055 16834 18070 21970 23491 26410 28561 28795 32110 34333 41743 42085 46982 57122 57590 61577 68666 74867 83486 84170 109421 117455 123154 142805 149734 171665 208715 218842 234910 285610 305383 307885 343330 374335 417430 446329 542659 547105 610766 615770 748670 800501 892658 973271 1085318 1094210 1169963 1422473 1526915 1601002 1946542 2231645 2339926 2713295 2844946 3053830 3969979 4002505 4463290 4866355 5426590 5802277 5849815 7112365 7939958 8005010 9732710 10406513 11604554 11699630 12652523 14224730 15209519 18492149 19849895 20813026 25305046 29011385 30419038 36984298 39699790 52032565 58022770 63262615 75429601 76047595 92460745 104065130 126525230 135284669 150859202 152095190 184921490 197723747 240397937 270569338 377148005 395447494 480795874 676423345 754296010 988618735 1201989685 1352846690 1758700697 1977237470 2403979370 2570408711 3517401394 5140817422 8793503485 12852043555 17587006970 25704087110 33415313243 66830626486 167076566215 334153132430