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434325338712 = 233317937126233
BaseRepresentation
bin1100101000111111100…
…11101011101001011000
31112112001212202020122000
412110133303223221120
524103444241314322
6531305403201000
743243662315546
oct6243763535130
91475055666560
10434325338712
11158218370421
1270212816160
1331c58b55055
1417042c4cd96
15b47010e3ac
hex651fceba58

434325338712 has 128 divisors (see below), whose sum is σ = 1278800913600. Its totient is φ = 136112431104.

The previous prime is 434325338701. The next prime is 434325338737. The reversal of 434325338712 is 217833523434.

434325338712 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 253 + 387 + 12 = 666.

It is a super-3 number, since 3×4343253387123 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3377548 + ... + 3503780.

Almost surely, 2434325338712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434325338712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639400456800).

434325338712 is an abundant number, since it is smaller than the sum of its proper divisors (844475574888).

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

434325338712 is a wasteful number, since it uses less digits than its factorization.

434325338712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127202 (or 127192 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 434325338712 in words is "four hundred thirty-four billion, three hundred twenty-five million, three hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 937 1224 1836 1874 2811 3672 3748 5622 7496 8433 11244 15929 16866 22488 25299 31858 33732 47787 50598 63716 67464 95574 101196 126233 127432 143361 191148 202392 252466 286722 378699 382296 430083 504932 573444 757398 860166 1009864 1136097 1146888 1514796 1720332 2145961 2272194 3029592 3408291 3440664 4291922 4544388 6437883 6816582 8583844 9088776 12875766 13633164 17167688 19313649 25751532 27266328 38627298 51503064 57940947 77254596 115881894 118280321 154509192 231763788 236560642 354840963 463527576 473121284 709681926 946242568 1064522889 1419363852 2010765457 2129045778 2838727704 3193568667 4021530914 4258091556 6032296371 6387137334 8043061828 8516183112 12064592742 12774274668 16086123656 18096889113 24129185484 25548549336 36193778226 48258370968 54290667339 72387556452 108581334678 144775112904 217162669356 434325338712