Search a number
-
+
414402251514150 = 235241107629742803
BaseRepresentation
bin101111000111001011000101…
…0111111101110000100100110
32000100021110122102101012200010
41132032112022333232010212
5413304031302341423100
64025205433300031050
7153200401051625214
oct13616261277560446
92010243572335603
10414402251514150
1111005000a598579
123a589b23692486
1314a2cc7040a013
147449266cc5cb4
1532d984841a750
hex178e58afee126

414402251514150 has 96 divisors (see below), whose sum is σ = 1062622969527168. Its totient is φ = 106804379219200.

The previous prime is 414402251514133. The next prime is 414402251514227. The reversal of 414402251514150 is 51415152204414.

It is a junction number, because it is equal to n+sod(n) for n = 414402251514099 and 414402251514108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314213352 + ... + 315529451.

It is an arithmetic number, because the mean of its divisors is an integer number (11068989265908).

Almost surely, 2414402251514150 is an apocalyptic number.

414402251514150 is an abundant number, since it is smaller than the sum of its proper divisors (648220718013018).

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

414402251514150 is a wasteful number, since it uses less digits than its factorization.

414402251514150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629742966 (or 629742961 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 414402251514150 in words is "four hundred fourteen trillion, four hundred two billion, two hundred fifty-one million, five hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 107 123 150 205 214 246 321 410 535 615 642 1025 1070 1230 1605 2050 2675 3075 3210 4387 5350 6150 8025 8774 13161 16050 21935 26322 43870 65805 109675 131610 219350 329025 658050 629742803 1259485606 1889228409 3148714015 3778456818 6297428030 9446142045 15743570075 18892284090 25819454923 31487140150 47230710225 51638909846 67382479921 77458364769 94461420450 129097274615 134764959842 154916729538 202147439763 258194549230 336912399605 387291823845 404294879526 645486373075 673824799210 774583647690 1010737198815 1290972746150 1684561998025 1936459119225 2021474397630 2762681676761 3369123996050 3872918238450 5053685994075 5525363353522 8288045030283 10107371988150 13813408383805 16576090060566 27626816767610 41440225151415 69067041919025 82880450302830 138134083838050 207201125757075 414402251514150