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41021014144 = 2711171713779
BaseRepresentation
bin100110001101000010…
…110000000010000000
310220212211021102121011
4212031002300002000
51133002334423034
630502250410304
72651352603265
oct461502600200
9126784242534
1041021014144
1116440325090
127b49a30994
133b39769646
141db202926c
151101469864
hex98d0b0080

41021014144 has 64 divisors (see below), whose sum is σ = 94395002400. Its totient is φ = 17549086720.

The previous prime is 41021014129. The next prime is 41021014159. The reversal of 41021014144 is 44141012014.

It is an interprime number because it is at equal distance from previous prime (41021014129) and next prime (41021014159).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832954 + ... + 880825.

Almost surely, 241021014144 is an apocalyptic number.

41021014144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41021014144 is an abundant number, since it is smaller than the sum of its proper divisors (53373988256).

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

41021014144 is a wasteful number, since it uses less digits than its factorization.

41021014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713821 (or 1713809 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 41021014144 its reverse (44141012014), we get a palindrome (85162026158).

The spelling of 41021014144 in words is "forty-one billion, twenty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 1713779 3427558 6855116 13710232 18851569 27420464 29134243 37703138 54840928 58268486 75406276 109681856 116536972 150812552 219363712 233073944 301625104 320476673 466147888 603250208 640953346 932295776 1206500416 1281906692 1864591552 2413000832 2563813384 3729183104 5127626768 10255253536 20510507072 41021014144