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144904061440 = 295179073671
BaseRepresentation
bin1000011011110011110…
…1001000001000000000
3111212000121120000100101
42012330331020020000
54333230414431230
6150322404532144
713316600125345
oct2067475101000
9455017500311
10144904061440
11564a9624086
12241000b1054
131088389c8b8
147028a787cc
153b81526aca
hex21bcf48200

144904061440 has 160 divisors (see below), whose sum is σ = 368373101184. Its totient is φ = 54477127680.

The previous prime is 144904061413. The next prime is 144904061447. The reversal of 144904061440 is 44160409441.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 144904061440.

It is not an unprimeable number, because it can be changed into a prime (144904061447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39470805 + ... + 39474475.

Almost surely, 2144904061440 is an apocalyptic number.

144904061440 is a gapful number since it is divisible by the number (10) 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 144904061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184186550592).

144904061440 is an abundant number, since it is smaller than the sum of its proper divisors (223469039744).

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

144904061440 is an equidigital number, since it uses as much as digits as its factorization.

144904061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 144904061440 in words is "one hundred forty-four billion, nine hundred four million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 907 1088 1280 1360 1814 2176 2560 2720 3628 3671 4352 4535 5440 7256 7342 8704 9070 10880 14512 14684 15419 18140 18355 21760 29024 29368 30838 36280 36710 43520 58048 58736 61676 62407 72560 73420 77095 116096 117472 123352 124814 145120 146840 154190 232192 234944 246704 249628 290240 293680 308380 312035 464384 469888 493408 499256 580480 587360 616760 624070 939776 986816 998512 1160960 1174720 1233520 1248140 1879552 1973632 1997024 2321920 2349440 2467040 2496280 3329597 3947264 3994048 4698880 4934080 4992560 6659194 7894528 7988096 9397760 9868160 9985120 13318388 15976192 16647985 19736320 19970240 26636776 31952384 33295970 39472640 39940480 53273552 56603149 66591940 79880960 106547104 113206298 133183880 159761920 213094208 226412596 266367760 283015745 426188416 452825192 532735520 566031490 852376832 905650384 1065471040 1132062980 1704753664 1811300768 2130942080 2264125960 3622601536 4261884160 4528251920 7245203072 8523768320 9056503840 14490406144 18113007680 28980812288 36226015360 72452030720 144904061440