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151034346320 = 245111337356819
BaseRepresentation
bin1000110010101001011…
…0010011101101010000
3112102211211202202021112
42030222112103231100
54433304243040240
6153214554112452
713624525522124
oct2145226235520
9472754682245
10151034346320
1159064a50920
122533111b728
131131c9539c0
14744acbd584
153dde7e7665
hex232a593b50

151034346320 has 160 divisors (see below), whose sum is σ = 423696631680. Its totient is φ = 49326520320.

The previous prime is 151034346313. The next prime is 151034346341. The reversal of 151034346320 is 23643430151.

It is a super-2 number, since 2×1510343463202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244871 + ... + 601689.

It is an arithmetic number, because the mean of its divisors is an integer number (2648103948).

Almost surely, 2151034346320 is an apocalyptic number.

151034346320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151034346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211848315840).

151034346320 is an abundant number, since it is smaller than the sum of its proper divisors (272662285360).

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

151034346320 is a wasteful number, since it uses less digits than its factorization.

151034346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356893 (or 356887 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 151034346320 its reverse (23643430151), we get a palindrome (174677776471).

The spelling of 151034346320 in words is "one hundred fifty-one billion, thirty-four million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1144 1430 1480 1628 1924 2035 2288 2405 2860 2960 3256 3848 4070 4810 5291 5720 6512 7696 8140 9620 10582 11440 16280 19240 21164 26455 32560 38480 42328 52910 84656 105820 211640 356819 423280 713638 1427276 1784095 2854552 3568190 3925009 4638647 5709104 7136380 7850018 9277294 13202303 14272760 15700036 18554588 19625045 23193235 26404606 28545520 31400072 37109176 39250090 46386470 51025117 52809212 62800144 66011515 74218352 78500180 92772940 102050234 105618424 132023030 145225333 157000360 171629939 185545880 204100468 211236848 255125585 264046060 290450666 314000720 343259878 371091760 408200936 510251170 528092120 580901332 686519756 726126665 816401872 858149695 1020502340 1056184240 1161802664 1373039512 1452253330 1716299390 1887929329 2041004680 2323605328 2746079024 2904506660 3432598780 3775858658 4082009360 5809013320 6865197560 7551717316 9439646645 11618026640 13730395120 15103434632 18879293290 30206869264 37758586580 75517173160 151034346320