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1412434100 = 2252711533461
BaseRepresentation
bin101010000110000…
…0000100010110100
310122102202002100002
41110030000202310
510343040342400
6352053210432
750000330450
oct12414004264
93572662302
101412434100
11665311710
12335030a18
1319681322c
14d582b660
1583eeded5
hex543008b4

1412434100 has 144 divisors (see below), whose sum is σ = 3894500736. Its totient is φ = 431808000.

The previous prime is 1412434091. The next prime is 1412434109. The reversal of 1412434100 is 14342141.

It is an interprime number because it is at equal distance from previous prime (1412434091) and next prime (1412434109).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412434109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406370 + ... + 409830.

It is an arithmetic number, because the mean of its divisors is an integer number (27045144).

Almost surely, 21412434100 is an apocalyptic number.

1412434100 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 1412434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947250368).

1412434100 is an abundant number, since it is smaller than the sum of its proper divisors (2482066636).

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

1412434100 is a wasteful number, since it uses less digits than its factorization.

1412434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1412434100 is about 37582.3642151475. The cubic root of 1412434100 is about 1121.9910639718.

Adding to 1412434100 its reverse (14342141), we get a palindrome (1426776241).

The spelling of 1412434100 in words is "one billion, four hundred twelve million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 350 371 385 530 550 583 700 742 770 1060 1100 1166 1325 1484 1540 1855 1925 2332 2650 2915 3461 3710 3850 4081 5300 5830 6922 7420 7700 8162 9275 11660 13844 14575 16324 17305 18550 20405 24227 29150 34610 37100 38071 40810 48454 58300 69220 76142 81620 86525 96908 102025 121135 152284 173050 183433 190355 204050 242270 266497 346100 366866 380710 408100 484540 532994 605675 733732 761420 917165 951775 1065988 1211350 1284031 1332485 1834330 1903550 2017763 2422700 2568062 2664970 3668660 3807100 4035526 4585825 5136124 5329940 6420155 6662425 8071052 9171650 10088815 12840310 13324850 14124341 18343300 20177630 25680620 26649700 28248682 32100775 40355260 50444075 56497364 64201550 70621705 100888150 128403100 141243410 201776300 282486820 353108525 706217050 1412434100