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40103561451000 = 2335366372014141
BaseRepresentation
bin10010001111001010101101…
…00010001101010111111000
312020222212022011001210212210
421013211112202031113320
520224024043212413000
6221143153301335120
711306246431621215
oct1107452642152770
9166885264053783
1040103561451000
1111861908a3a003
1245b84097074a0
13194b998bab058
149c9046532b0c
154982bb951350
hex24795688d5f8

40103561451000 has 128 divisors (see below), whose sum is σ = 125142026218560. Its totient is φ = 10692666432000.

The previous prime is 40103561450933. The next prime is 40103561451017. The reversal of 40103561451000 is 15416530104.

It is a happy number.

40103561451000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18903930 + ... + 20918070.

Almost surely, 240103561451000 is an apocalyptic number.

40103561451000 is a gapful number since it is divisible by the number (40) 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 40103561451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62571013109280).

40103561451000 is an abundant number, since it is smaller than the sum of its proper divisors (85038464767560).

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

40103561451000 is a wasteful number, since it uses less digits than its factorization.

40103561451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020802 (or 2020788 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 40103561451000 its reverse (15416530104), we get a palindrome (40118977981104).

The spelling of 40103561451000 in words is "forty trillion, one hundred three billion, five hundred sixty-one million, four hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6637 13274 19911 26548 33185 39822 53096 66370 79644 99555 132740 159288 165925 199110 265480 331850 398220 497775 663700 796440 829625 995550 1327400 1659250 1991100 2014141 2488875 3318500 3982200 4028282 4977750 6042423 6637000 8056564 9955500 10070705 12084846 16113128 19911000 20141410 24169692 30212115 40282820 48339384 50353525 60424230 80565640 100707050 120848460 151060575 201414100 241696920 251767625 302121150 402828200 503535250 604242300 755302875 1007070500 1208484600 1510605750 2014141000 3021211500 6042423000 13367853817 26735707634 40103561451 53471415268 66839269085 80207122902 106942830536 133678538170 160414245804 200517807255 267357076340 320828491608 334196345425 401035614510 534714152680 668392690850 802071229020 1002589036275 1336785381700 1604142458040 1670981727125 2005178072550 2673570763400 3341963454250 4010356145100 5012945181375 6683926908500 8020712290200 10025890362750 13367853817000 20051780725500 40103561451000