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1414070320 = 245132412551
BaseRepresentation
bin101010001001001…
…0000000000110000
310122112211012210211
41110102100000300
510344000222240
6352152233504
750020253665
oct12422200060
93575735724
101414070320
11666229a63
1233569b894
13196c66c00
14d5b35a6c
1584223bea
hex54490030

1414070320 has 120 divisors (see below), whose sum is σ = 3648328992. Its totient is φ = 509184000.

The previous prime is 1414070311. The next prime is 1414070321. The reversal of 1414070320 is 230704141.

It is a junction number, because it is equal to n+sod(n) for n = 1414070291 and 1414070300.

It is not an unprimeable number, because it can be changed into a prime (1414070321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553045 + ... + 555595.

Almost surely, 21414070320 is an apocalyptic number.

1414070320 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 1414070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824164496).

1414070320 is an abundant number, since it is smaller than the sum of its proper divisors (2234258672).

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

1414070320 is a wasteful number, since it uses less digits than its factorization.

1414070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1414070320 is about 37604.1263693228. The cubic root of 1414070320 is about 1122.4241498475.

Adding to 1414070320 its reverse (230704141), we get a palindrome (1644774461).

The spelling of 1414070320 in words is "one billion, four hundred fourteen million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 169 205 208 260 328 338 410 520 533 656 676 820 845 1040 1066 1352 1640 1690 2132 2551 2665 2704 3280 3380 4264 5102 5330 6760 6929 8528 10204 10660 12755 13520 13858 20408 21320 25510 27716 33163 34645 40816 42640 51020 55432 66326 69290 102040 104591 110864 132652 138580 165815 204080 209182 265304 277160 331630 418364 431119 522955 530608 554320 663260 836728 862238 1045910 1326520 1359683 1673456 1724476 2091820 2155595 2653040 2719366 3448952 4183640 4311190 5438732 6798415 6897904 8367280 8622380 10877464 13596830 17244760 17675879 21754928 27193660 34489520 35351758 54387320 70703516 88379395 108774640 141407032 176758790 282814064 353517580 707035160 1414070320