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42381452226150 = 23252436732690387
BaseRepresentation
bin10011010001011101100110…
…11001111010111001100110
312120001121221021102200210100
421220232303121322321212
521023334203232214100
6230045434222204530
711632646616010302
oct1150566331727146
9176047837380710
1042381452226150
111255a966999234
124905986723746
131a857278c874b
14a673b7a70d02
154d768b0d6400
hex268bb367ae66

42381452226150 has 144 divisors (see below), whose sum is σ = 118251855843264. Its totient is φ = 10874129999040.

The previous prime is 42381452226143. The next prime is 42381452226251. The reversal of 42381452226150 is 5162225418324.

42381452226150 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 1 + 4 + 5 + 2 + 22 + 615 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42381452226096 and 42381452226105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15048744 + ... + 17641643.

It is an arithmetic number, because the mean of its divisors is an integer number (821193443356).

Almost surely, 242381452226150 is an apocalyptic number.

42381452226150 is an abundant number, since it is smaller than the sum of its proper divisors (75870403617114).

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

42381452226150 is a wasteful number, since it uses less digits than its factorization.

42381452226150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32690515 (or 32690507 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42381452226150 in words is "forty-two trillion, three hundred eighty-one billion, four hundred fifty-two million, two hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 67 75 86 90 129 134 150 201 215 225 258 335 387 402 430 450 603 645 670 774 1005 1075 1206 1290 1675 1935 2010 2150 2881 3015 3225 3350 3870 5025 5762 6030 6450 8643 9675 10050 14405 15075 17286 19350 25929 28810 30150 43215 51858 72025 86430 129645 144050 216075 259290 432150 648225 1296450 32690387 65380774 98071161 163451935 196142322 294213483 326903870 490355805 588426966 817259675 980711610 1405686641 1471067415 1634519350 2190255929 2451779025 2811373282 2942134830 4217059923 4380511858 4903558050 6570767787 7028433205 7355337075 8434119846 10951279645 12651179769 13141535574 14056866410 14710674150 19712303361 21085299615 21902559290 25302359538 32853838935 35142166025 39424606722 42170599230 54756398225 63255898845 65707677870 70284332050 94181004947 98561516805 105426498075 109512796450 126511797690 164269194675 188362009894 197123033610 210852996150 282543014841 316279494225 328538389350 470905024735 492807584025 565086029682 632558988450 847629044523 941810049470 985615168050 1412715074205 1695258089046 2354525123675 2825430148410 4238145222615 4709050247350 7063575371025 8476290445230 14127150742050 21190726113075 42381452226150