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142214201043040 = 2557171251741467
BaseRepresentation
bin100000010101011111010010…
…111011110110100001100000
3200122112112201012010210211201
4200111133102323312201200
5122120014140431334130
61222244145123450544
741645431322440030
oct4025372273664140
9618475635123751
10142214201043040
114134a781a77035
1213b4a094226a54
136147984433a89
1427192bdd098c0
1511694b7534bca
hex8157d2ef6860

142214201043040 has 96 divisors (see below), whose sum is σ = 383981102878464. Its totient is φ = 48758804160000.

The previous prime is 142214201043037. The next prime is 142214201043041. The reversal of 142214201043040 is 40340102412241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142214201043041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 191430387 + ... + 192171853.

It is an arithmetic number, because the mean of its divisors is an integer number (3999803154984).

Almost surely, 2142214201043040 is an apocalyptic number.

142214201043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142214201043040 is an abundant number, since it is smaller than the sum of its proper divisors (241766901835424).

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

142214201043040 is a wasteful number, since it uses less digits than its factorization.

142214201043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912740 (or 912732 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 142214201043040 its reverse (40340102412241), we get a palindrome (182554303455281).

The spelling of 142214201043040 in words is "one hundred forty-two trillion, two hundred fourteen billion, two hundred one million, forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 171251 342502 685004 741467 856255 1198757 1370008 1482934 1712510 2397514 2740016 2965868 3425020 3707335 4795028 5190269 5480032 5931736 5993785 6850040 7414670 9590056 10380538 11863472 11987570 13700080 14829340 19180112 20761076 23726944 23975140 25951345 27400160 29658680 38360224 41522152 47950280 51902690 59317360 83044304 95900560 103805380 118634720 166088608 191801120 207610760 415221520 830443040 126976965217 253953930434 507907860868 634884826085 888838756519 1015815721736 1269769652170 1777677513038 2031631443472 2539539304340 3555355026076 4063262886944 4444193782595 5079078608680 7110710052152 8888387565190 10158157217360 14221420104304 17776775130380 20316314434720 28442840208608 35553550260760 71107100521520 142214201043040