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41412204042000 = 2435311627457637
BaseRepresentation
bin10010110101010000001111…
…01101100001011100010000
312102121222010200222101010220
421122220013231201130100
520411444143213321000
6224024300501553040
711502635010251121
oct1132500755413420
9172558120871126
1041412204042000
11122168a9627790
124789b67415780
131a152006a715c
14a3250b858048
154bc35e4a41a0
hex25aa07b61710

41412204042000 has 160 divisors (see below), whose sum is σ = 145650486593664. Its totient is φ = 10039322176000.

The previous prime is 41412204041981. The next prime is 41412204042019. The reversal of 41412204042000 is 24040221414.

It is an interprime number because it is at equal distance from previous prime (41412204041981) and next prime (41412204042019).

It is a super-2 number, since 2×414122040420002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 313662819 + ... + 313794818.

Almost surely, 241412204042000 is an apocalyptic number.

41412204042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412204042000 is an abundant number, since it is smaller than the sum of its proper divisors (104238282551664).

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

41412204042000 is a wasteful number, since it uses less digits than its factorization.

41412204042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627457674 (or 627457658 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41412204042000 its reverse (24040221414), we get a palindrome (41436244263414).

The spelling of 41412204042000 in words is "forty-one trillion, four hundred twelve billion, two hundred four million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 627457637 1254915274 1882372911 2509830548 3137288185 3764745822 5019661096 6274576370 6902034007 7529491644 9411864555 10039322192 12549152740 13804068014 15058983288 15686440925 18823729110 20706102021 25098305480 27608136028 30117966576 31372881850 34510170035 37647458220 41412204042 47059322775 50196610960 55216272056 62745763700 69020340070 75294916440 78432204625 82824408084 94118645550 103530510105 110432544112 125491527400 138040680140 150589832880 156864409250 165648816168 172550850175 188237291100 207061020210 235296613875 250983054800 276081360280 313728818500 331297632336 345101700350 376474582200 414122040420 470593227750 517652550525 552162720560 627457637000 690203400700 752949164400 828244080840 862754250875 941186455500 1035305101050 1254915274000 1380406801400 1656488161680 1725508501750 1882372911000 2070610202100 2588262752625 2760813602800 3451017003500 3764745822000 4141220404200 5176525505250 6902034007000 8282440808400 10353051010500 13804068014000 20706102021000 41412204042000