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142522516441416 = 233193673533241051
BaseRepresentation
bin100000011001111110011011…
…111101110000100101001000
3200200122000112012221211201110
4200121332123331300211020
5122140042103202111131
61223041535024450320
742006624551204346
oct4031763375604510
9620560465854643
10142522516441416
1141459506a821a1
1213b9999a4799a0
13616aa7ac35347
14272a1ab576996
15117250ec40646
hex819f9bf70948

142522516441416 has 128 divisors (see below), whose sum is σ = 376189222348800. Its totient is φ = 44871584774400.

The previous prime is 142522516441391. The next prime is 142522516441441. The reversal of 142522516441416 is 614144615225241.

142522516441416 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142522516441391) and next prime (142522516441441).

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, 591134091 + ... + 591375141.

It is an arithmetic number, because the mean of its divisors is an integer number (2938978299600).

Almost surely, 2142522516441416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142522516441416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188094611174400).

142522516441416 is an abundant number, since it is smaller than the sum of its proper divisors (233666705907384).

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

142522516441416 is a wasteful number, since it uses less digits than its factorization.

142522516441416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244979 (or 244975 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 142522516441416 in words is "one hundred forty-two trillion, five hundred twenty-two billion, five hundred sixteen million, four hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 367 456 734 1101 1468 2202 2936 3533 4404 6973 7066 8808 10599 13946 14132 20919 21198 27892 28264 41838 42396 55784 67127 83676 84792 134254 167352 201381 241051 268508 402762 482102 537016 723153 805524 964204 1296611 1446306 1611048 1928408 2593222 2892612 3889833 4579969 5186444 5785224 7779666 9159938 10372888 13739907 15559332 18319876 24635609 27479814 31118664 36639752 49271218 54959628 73906827 88465717 98542436 109919256 147813654 176931434 197084872 265397151 295627308 353862868 530794302 591254616 707725736 851633183 1061588604 1680848623 1703266366 2123177208 2554899549 3361697246 3406532732 5042545869 5109799098 6723394492 6813065464 10085091738 10219598196 13446788984 16181030477 20170183476 20439196392 32362060954 40340366952 48543091431 64724121908 97086182862 129448243816 194172365724 312549378161 388344731448 625098756322 937648134483 1250197512644 1875296268966 2500395025288 3750592537932 5938438185059 7501185075864 11876876370118 17815314555177 23753752740236 35630629110354 47507505480472 71261258220708 142522516441416