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314422230224440 = 235131776946252439
BaseRepresentation
bin100011101111101110010000…
…1010101111000111000111000
31112020021110201211112022122101
41013133130201111320320320
5312202443211414140230
63032415324542233144
7123141153655626502
oct10737344125707070
91466243654468571
10314422230224440
119120379aa9a118
122b3211748857b4
1310659b73426550
14579018d616d72
152653c9caadaca
hex11df721578e38

314422230224440 has 128 divisors (see below), whose sum is σ = 807734111184000. Its totient is φ = 109123191963648.

The previous prime is 314422230224393. The next prime is 314422230224507. The reversal of 314422230224440 is 44422032224413.

It is a super-2 number, since 2×3144222302244402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314422230224440.

It is a congruent number.

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, 16328260 + ... + 29924179.

It is an arithmetic number, because the mean of its divisors is an integer number (6310422743625).

Almost surely, 2314422230224440 is an apocalyptic number.

It is an amenable number.

314422230224440 is an abundant number, since it is smaller than the sum of its proper divisors (493311880959560).

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

314422230224440 is a wasteful number, since it uses less digits than its factorization.

314422230224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46253249 (or 46253245 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 314422230224440 its reverse (44422032224413), we get a palindrome (358844262448853).

The spelling of 314422230224440 in words is "three hundred fourteen trillion, four hundred twenty-two billion, two hundred thirty million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 769 884 1105 1538 1768 2210 3076 3845 4420 6152 7690 8840 9997 13073 15380 19994 26146 30760 39988 49985 52292 65365 79976 99970 104584 130730 169949 199940 261460 339898 399880 522920 679796 849745 1359592 1699490 3398980 6797960 46252439 92504878 185009756 231262195 370019512 462524390 601281707 786291463 925048780 1202563414 1572582926 1850097560 2405126828 3006408535 3145165852 3931457315 4810253656 6012817070 6290331704 7862914630 10221789019 12025634140 15725829260 20443578038 24051268280 31451658520 35568125591 40887156076 51108945095 71136251182 81774312152 102217890190 142272502364 177840627955 204435780380 284545004728 355681255910 408871560760 462385632683 604658135047 711362511820 924771265366 1209316270094 1422725023640 1849542530732 2311928163415 2418632540188 3023290675235 3699085061464 4623856326830 4837265080376 6046581350470 7860555755611 9247712653660 12093162700940 15721111511222 18495425307320 24186325401880 31442223022444 39302778778055 62884446044888 78605557556110 157211115112220 314422230224440