Search a number
-
+
2731714035330 = 235773228178121
BaseRepresentation
bin100111110000000110110…
…110000011111010000010
3100200011000211220011112010
4213300012312003322002
5324224022243112310
65450533200113350
7401234264120010
oct47600666037202
910604024804463
102731714035330
119635713a2635
12381511605856
1316a7a4218197
1496303ad98b0
154b0d13d6320
hex27c06d83e82

2731714035330 has 128 divisors (see below), whose sum is σ = 7598768196096. Its totient is φ = 615560601600.

The previous prime is 2731714035311. The next prime is 2731714035343. The reversal of 2731714035330 is 335304171372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34928670 + ... + 35006790.

It is an arithmetic number, because the mean of its divisors is an integer number (59365376532).

Almost surely, 22731714035330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731714035330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799384098048).

2731714035330 is an abundant number, since it is smaller than the sum of its proper divisors (4867054160766).

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

2731714035330 is a wasteful number, since it uses less digits than its factorization.

2731714035330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80492.

The product of its (nonzero) digits is 158760, while the sum is 39.

The spelling of 2731714035330 in words is "two trillion, seven hundred thirty-one billion, seven hundred fourteen million, thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2281 2555 3066 4562 5110 6843 7665 11405 13686 15330 15967 22810 31934 34215 47901 68430 78121 79835 95802 156242 159670 166513 234363 239505 333026 390605 468726 479010 499539 546847 781210 832565 999078 1093694 1165591 1171815 1640541 1665130 2331182 2343630 2497695 2734235 3281082 3496773 4995390 5468470 5702833 5827955 6993546 8202705 11405666 11655910 16405410 17108499 17483865 28514165 34216998 34967730 39919831 57028330 79839662 85542495 119759493 171084990 178194001 199599155 239518986 356388002 399198310 534582003 598797465 890970005 1069164006 1197594930 1247358007 1781940010 2494716014 2672910015 3742074021 5345820030 6236790035 7484148042 12473580070 13008162073 18710370105 26016324146 37420740210 39024486219 65040810365 78048972438 91057134511 130081620730 182114269022 195122431095 273171403533 390244862190 455285672555 546342807066 910571345110 1365857017665 2731714035330